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Finding the Fourth Proportional to 71,209.14, 106,788.14 and 21,279.92

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Solution

The fourth proportional to 71,209.14, 106,788.14 and 21,279.92 is: 31,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.14 : 106,788.14 = 21,279.92 : x
  2. Step 2: Convert to fraction form
    71,209.14/106,788.14 = 21,279.92/x
  3. Step 3: Cross multiply
    71,209.14x = 106,788.14 × 21,279.92
  4. Step 4: Simplify right side
    71,209.14x = 2,272,443,076.15
  5. Step 5: Solve for x
    x = 2,272,443,076.15/71,209.14
  6. Step 6: Final answer
    x = 31,912.24

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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.