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Finding the Fourth Proportional to 57,874.80, 86,747.40 and 24,589.20

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Solution

The fourth proportional to 57,874.80, 86,747.40 and 24,589.20 is: 36,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.80 : 86,747.40 = 24,589.20 : x
  2. Step 2: Convert to fraction form
    57,874.80/86,747.40 = 24,589.20/x
  3. Step 3: Cross multiply
    57,874.80x = 86,747.40 × 24,589.20
  4. Step 4: Simplify right side
    57,874.80x = 2,133,049,168.08
  5. Step 5: Solve for x
    x = 2,133,049,168.08/57,874.80
  6. Step 6: Final answer
    x = 36,856.27

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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.