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Finding the Fourth Proportional to 57,902.92, 86,841.31 and 29,411.02

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Solution

The fourth proportional to 57,902.92, 86,841.31 and 29,411.02 is: 44,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.92 : 86,841.31 = 29,411.02 : x
  2. Step 2: Convert to fraction form
    57,902.92/86,841.31 = 29,411.02/x
  3. Step 3: Cross multiply
    57,902.92x = 86,841.31 × 29,411.02
  4. Step 4: Simplify right side
    57,902.92x = 2,554,090,923.97
  5. Step 5: Solve for x
    x = 2,554,090,923.97/57,902.92
  6. Step 6: Final answer
    x = 44,109.88

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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.