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Finding the Fourth Proportional to 43,857.20, 65,737.20 and 24,149.90

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Solution

The fourth proportional to 43,857.20, 65,737.20 and 24,149.90 is: 36,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,857.20 : 65,737.20 = 24,149.90 : x
  2. Step 2: Convert to fraction form
    43,857.20/65,737.20 = 24,149.90/x
  3. Step 3: Cross multiply
    43,857.20x = 65,737.20 × 24,149.90
  4. Step 4: Simplify right side
    43,857.20x = 1,587,546,806.28
  5. Step 5: Solve for x
    x = 1,587,546,806.28/43,857.20
  6. Step 6: Final answer
    x = 36,198.09

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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.