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Finding the Fourth Proportional to 39,092, 58,638 and 15,712.97

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Solution

The fourth proportional to 39,092, 58,638 and 15,712.97 is: 23,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,092 : 58,638 = 15,712.97 : x
  2. Step 2: Convert to fraction form
    39,092/58,638 = 15,712.97/x
  3. Step 3: Cross multiply
    39,092x = 58,638 × 15,712.97
  4. Step 4: Simplify right side
    39,092x = 921,377,134.86
  5. Step 5: Solve for x
    x = 921,377,134.86/39,092
  6. Step 6: Final answer
    x = 23,569.46

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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.