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Finding the Fourth Proportional to 71,188.80, 106,799.40 and 41,591.40

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Solution

The fourth proportional to 71,188.80, 106,799.40 and 41,591.40 is: 62,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,188.80 : 106,799.40 = 41,591.40 : x
  2. Step 2: Convert to fraction form
    71,188.80/106,799.40 = 41,591.40/x
  3. Step 3: Cross multiply
    71,188.80x = 106,799.40 × 41,591.40
  4. Step 4: Simplify right side
    71,188.80x = 4,441,936,565.16
  5. Step 5: Solve for x
    x = 4,441,936,565.16/71,188.80
  6. Step 6: Final answer
    x = 62,396.56

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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.