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Finding the Fourth Proportional to 52,277.20, 78,286.20 and 41,909.20

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Solution

The fourth proportional to 52,277.20, 78,286.20 and 41,909.20 is: 62,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,277.20 : 78,286.20 = 41,909.20 : x
  2. Step 2: Convert to fraction form
    52,277.20/78,286.20 = 41,909.20/x
  3. Step 3: Cross multiply
    52,277.20x = 78,286.20 × 41,909.20
  4. Step 4: Simplify right side
    52,277.20x = 3,280,912,013.04
  5. Step 5: Solve for x
    x = 3,280,912,013.04/52,277.20
  6. Step 6: Final answer
    x = 62,759.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.