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Finding the Fourth Proportional to 57,687.71, 86,531.17 and 31,046.24

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Solution

The fourth proportional to 57,687.71, 86,531.17 and 31,046.24 is: 46,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,687.71 : 86,531.17 = 31,046.24 : x
  2. Step 2: Convert to fraction form
    57,687.71/86,531.17 = 31,046.24/x
  3. Step 3: Cross multiply
    57,687.71x = 86,531.17 × 31,046.24
  4. Step 4: Simplify right side
    57,687.71x = 2,686,467,471.30
  5. Step 5: Solve for x
    x = 2,686,467,471.30/57,687.71
  6. Step 6: Final answer
    x = 46,569.15

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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.