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Finding the Fourth Proportional to 71,126.72, 106,726.92 and 31,712.24

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Solution

The fourth proportional to 71,126.72, 106,726.92 and 31,712.24 is: 47,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,126.72 : 106,726.92 = 31,712.24 : x
  2. Step 2: Convert to fraction form
    71,126.72/106,726.92 = 31,712.24/x
  3. Step 3: Cross multiply
    71,126.72x = 106,726.92 × 31,712.24
  4. Step 4: Simplify right side
    71,126.72x = 3,384,549,701.50
  5. Step 5: Solve for x
    x = 3,384,549,701.50/71,126.72
  6. Step 6: Final answer
    x = 47,584.79

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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.