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Finding the Fourth Proportional to 71,460, 107,239.14 and 24,712.92

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Solution

The fourth proportional to 71,460, 107,239.14 and 24,712.92 is: 37,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,460 : 107,239.14 = 24,712.92 : x
  2. Step 2: Convert to fraction form
    71,460/107,239.14 = 24,712.92/x
  3. Step 3: Cross multiply
    71,460x = 107,239.14 × 24,712.92
  4. Step 4: Simplify right side
    71,460x = 2,650,192,287.69
  5. Step 5: Solve for x
    x = 2,650,192,287.69/71,460
  6. Step 6: Final answer
    x = 37,086.37

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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.