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Finding the Fourth Proportional to 57,652.57, 86,458.05 and 24,375.22

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Solution

The fourth proportional to 57,652.57, 86,458.05 and 24,375.22 is: 36,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,652.57 : 86,458.05 = 24,375.22 : x
  2. Step 2: Convert to fraction form
    57,652.57/86,458.05 = 24,375.22/x
  3. Step 3: Cross multiply
    57,652.57x = 86,458.05 × 24,375.22
  4. Step 4: Simplify right side
    57,652.57x = 2,107,433,989.52
  5. Step 5: Solve for x
    x = 2,107,433,989.52/57,652.57
  6. Step 6: Final answer
    x = 36,554.03

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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.