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Finding the Fourth Proportional to 58,471.91, 80,691.22 and 31,614.41

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Solution

The fourth proportional to 58,471.91, 80,691.22 and 31,614.41 is: 43,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,471.91 : 80,691.22 = 31,614.41 : x
  2. Step 2: Convert to fraction form
    58,471.91/80,691.22 = 31,614.41/x
  3. Step 3: Cross multiply
    58,471.91x = 80,691.22 × 31,614.41
  4. Step 4: Simplify right side
    58,471.91x = 2,551,005,312.48
  5. Step 5: Solve for x
    x = 2,551,005,312.48/58,471.91
  6. Step 6: Final answer
    x = 43,627.88

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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.