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Finding the Fourth Proportional to 57,178.38, 78,906.17 and 32,027.88

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Solution

The fourth proportional to 57,178.38, 78,906.17 and 32,027.88 is: 44,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.38 : 78,906.17 = 32,027.88 : x
  2. Step 2: Convert to fraction form
    57,178.38/78,906.17 = 32,027.88/x
  3. Step 3: Cross multiply
    57,178.38x = 78,906.17 × 32,027.88
  4. Step 4: Simplify right side
    57,178.38x = 2,527,197,344.02
  5. Step 5: Solve for x
    x = 2,527,197,344.02/57,178.38
  6. Step 6: Final answer
    x = 44,198.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.