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Finding the Fourth Proportional to 50,821.84, 76,232.76 and 23,127.76

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Solution

The fourth proportional to 50,821.84, 76,232.76 and 23,127.76 is: 34,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,821.84 : 76,232.76 = 23,127.76 : x
  2. Step 2: Convert to fraction form
    50,821.84/76,232.76 = 23,127.76/x
  3. Step 3: Cross multiply
    50,821.84x = 76,232.76 × 23,127.76
  4. Step 4: Simplify right side
    50,821.84x = 1,763,092,977.42
  5. Step 5: Solve for x
    x = 1,763,092,977.42/50,821.84
  6. Step 6: Final answer
    x = 34,691.64

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Half scale
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Double scale
Find fourth proportional to 50,822.84, 76,234.26 and 23,128.76
Similar ratio
Find fourth proportional to 76,232.76, 114,349.14 and 34,691.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.