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Finding the Fourth Proportional to 74,593.71, 102,951.81 and 47,734.92

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Solution

The fourth proportional to 74,593.71, 102,951.81 and 47,734.92 is: 65,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,593.71 : 102,951.81 = 47,734.92 : x
  2. Step 2: Convert to fraction form
    74,593.71/102,951.81 = 47,734.92/x
  3. Step 3: Cross multiply
    74,593.71x = 102,951.81 × 47,734.92
  4. Step 4: Simplify right side
    74,593.71x = 4,914,396,414.21
  5. Step 5: Solve for x
    x = 4,914,396,414.21/74,593.71
  6. Step 6: Final answer
    x = 65,882.18

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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.