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Finding the Fourth Proportional to 31,713.66, 43,759.59 and 20,385.66

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Solution

The fourth proportional to 31,713.66, 43,759.59 and 20,385.66 is: 28,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.66 : 43,759.59 = 20,385.66 : x
  2. Step 2: Convert to fraction form
    31,713.66/43,759.59 = 20,385.66/x
  3. Step 3: Cross multiply
    31,713.66x = 43,759.59 × 20,385.66
  4. Step 4: Simplify right side
    31,713.66x = 892,068,123.48
  5. Step 5: Solve for x
    x = 892,068,123.48/31,713.66
  6. Step 6: Final answer
    x = 28,128.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.