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Finding the Fourth Proportional to 31,952.57, 47,859 and 26,342.91

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Solution

The fourth proportional to 31,952.57, 47,859 and 26,342.91 is: 39,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.57 : 47,859 = 26,342.91 : x
  2. Step 2: Convert to fraction form
    31,952.57/47,859 = 26,342.91/x
  3. Step 3: Cross multiply
    31,952.57x = 47,859 × 26,342.91
  4. Step 4: Simplify right side
    31,952.57x = 1,260,745,329.69
  5. Step 5: Solve for x
    x = 1,260,745,329.69/31,952.57
  6. Step 6: Final answer
    x = 39,456.78

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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.