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Finding the Fourth Proportional to 71,136.80, 106,705.24 and 21,251.92

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Solution

The fourth proportional to 71,136.80, 106,705.24 and 21,251.92 is: 31,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,136.80 : 106,705.24 = 21,251.92 : x
  2. Step 2: Convert to fraction form
    71,136.80/106,705.24 = 21,251.92/x
  3. Step 3: Cross multiply
    71,136.80x = 106,705.24 × 21,251.92
  4. Step 4: Simplify right side
    71,136.80x = 2,267,691,224.06
  5. Step 5: Solve for x
    x = 2,267,691,224.06/71,136.80
  6. Step 6: Final answer
    x = 31,877.89

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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.