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Finding the Fourth Proportional to 83,230.50, 114,858.10 and 45,504.76

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Solution

The fourth proportional to 83,230.50, 114,858.10 and 45,504.76 is: 62,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230.50 : 114,858.10 = 45,504.76 : x
  2. Step 2: Convert to fraction form
    83,230.50/114,858.10 = 45,504.76/x
  3. Step 3: Cross multiply
    83,230.50x = 114,858.10 × 45,504.76
  4. Step 4: Simplify right side
    83,230.50x = 5,226,590,274.56
  5. Step 5: Solve for x
    x = 5,226,590,274.56/83,230.50
  6. Step 6: Final answer
    x = 62,796.57

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.