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Finding the Fourth Proportional to 71,462, 107,242.14 and 24,714.92

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Solution

The fourth proportional to 71,462, 107,242.14 and 24,714.92 is: 37,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,462 : 107,242.14 = 24,714.92 : x
  2. Step 2: Convert to fraction form
    71,462/107,242.14 = 24,714.92/x
  3. Step 3: Cross multiply
    71,462x = 107,242.14 × 24,714.92
  4. Step 4: Simplify right side
    71,462x = 2,650,480,910.73
  5. Step 5: Solve for x
    x = 2,650,480,910.73/71,462
  6. Step 6: Final answer
    x = 37,089.37

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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.