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Finding the Fourth Proportional to 45,691.59, 68,502.65 and 31,614.20

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Solution

The fourth proportional to 45,691.59, 68,502.65 and 31,614.20 is: 47,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,691.59 : 68,502.65 = 31,614.20 : x
  2. Step 2: Convert to fraction form
    45,691.59/68,502.65 = 31,614.20/x
  3. Step 3: Cross multiply
    45,691.59x = 68,502.65 × 31,614.20
  4. Step 4: Simplify right side
    45,691.59x = 2,165,655,977.05
  5. Step 5: Solve for x
    x = 2,165,655,977.05/45,691.59
  6. Step 6: Final answer
    x = 47,397.26

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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.