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Finding the Fourth Proportional to 71,862.87, 107,794.31 and 27,503.22

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Solution

The fourth proportional to 71,862.87, 107,794.31 and 27,503.22 is: 41,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,862.87 : 107,794.31 = 27,503.22 : x
  2. Step 2: Convert to fraction form
    71,862.87/107,794.31 = 27,503.22/x
  3. Step 3: Cross multiply
    71,862.87x = 107,794.31 × 27,503.22
  4. Step 4: Simplify right side
    71,862.87x = 2,964,690,622.68
  5. Step 5: Solve for x
    x = 2,964,690,622.68/71,862.87
  6. Step 6: Final answer
    x = 41,254.83

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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.