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Finding the Fourth Proportional to 57,391.71, 86,092.52 and 15,838.71

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Solution

The fourth proportional to 57,391.71, 86,092.52 and 15,838.71 is: 23,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,391.71 : 86,092.52 = 15,838.71 : x
  2. Step 2: Convert to fraction form
    57,391.71/86,092.52 = 15,838.71/x
  3. Step 3: Cross multiply
    57,391.71x = 86,092.52 × 15,838.71
  4. Step 4: Simplify right side
    57,391.71x = 1,363,594,457.45
  5. Step 5: Solve for x
    x = 1,363,594,457.45/57,391.71
  6. Step 6: Final answer
    x = 23,759.43

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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.