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Finding the Fourth Proportional to 31,778.92, 43,854.92 and 17,631.73

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Solution

The fourth proportional to 31,778.92, 43,854.92 and 17,631.73 is: 24,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.92 : 43,854.92 = 17,631.73 : x
  2. Step 2: Convert to fraction form
    31,778.92/43,854.92 = 17,631.73/x
  3. Step 3: Cross multiply
    31,778.92x = 43,854.92 × 17,631.73
  4. Step 4: Simplify right side
    31,778.92x = 773,238,108.61
  5. Step 5: Solve for x
    x = 773,238,108.61/31,778.92
  6. Step 6: Final answer
    x = 24,331.79

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1.5x scale

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.