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Finding the Fourth Proportional to 57,124.91, 85,691.00 and 17,678.71

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Solution

The fourth proportional to 57,124.91, 85,691.00 and 17,678.71 is: 26,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124.91 : 85,691.00 = 17,678.71 : x
  2. Step 2: Convert to fraction form
    57,124.91/85,691.00 = 17,678.71/x
  3. Step 3: Cross multiply
    57,124.91x = 85,691.00 × 17,678.71
  4. Step 4: Simplify right side
    57,124.91x = 1,514,906,250.22
  5. Step 5: Solve for x
    x = 1,514,906,250.22/57,124.91
  6. Step 6: Final answer
    x = 26,519.19

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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.