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Finding the Fourth Proportional to 56,949.64, 85,375.85 and 40,257.16

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Solution

The fourth proportional to 56,949.64, 85,375.85 and 40,257.16 is: 60,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,949.64 : 85,375.85 = 40,257.16 : x
  2. Step 2: Convert to fraction form
    56,949.64/85,375.85 = 40,257.16/x
  3. Step 3: Cross multiply
    56,949.64x = 85,375.85 × 40,257.16
  4. Step 4: Simplify right side
    56,949.64x = 3,436,988,838.86
  5. Step 5: Solve for x
    x = 3,436,988,838.86/56,949.64
  6. Step 6: Final answer
    x = 60,351.37

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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.