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Finding the Fourth Proportional to 52,234.56, 72,083.76 and 29,878.56

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Solution

The fourth proportional to 52,234.56, 72,083.76 and 29,878.56 is: 41,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234.56 : 72,083.76 = 29,878.56 : x
  2. Step 2: Convert to fraction form
    52,234.56/72,083.76 = 29,878.56/x
  3. Step 3: Cross multiply
    52,234.56x = 72,083.76 × 29,878.56
  4. Step 4: Simplify right side
    52,234.56x = 2,153,758,948.19
  5. Step 5: Solve for x
    x = 2,153,758,948.19/52,234.56
  6. Step 6: Final answer
    x = 41,232.45

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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.