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Finding the Fourth Proportional to 31,713.96, 43,744.17 and 20,397.77

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Solution

The fourth proportional to 31,713.96, 43,744.17 and 20,397.77 is: 28,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.96 : 43,744.17 = 20,397.77 : x
  2. Step 2: Convert to fraction form
    31,713.96/43,744.17 = 20,397.77/x
  3. Step 3: Cross multiply
    31,713.96x = 43,744.17 × 20,397.77
  4. Step 4: Simplify right side
    31,713.96x = 892,283,576.87
  5. Step 5: Solve for x
    x = 892,283,576.87/31,713.96
  6. Step 6: Final answer
    x = 28,135.36

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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.