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Finding the Fourth Proportional to 31,713.90, 43,765.02 and 17,566.71

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Solution

The fourth proportional to 31,713.90, 43,765.02 and 17,566.71 is: 24,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.90 : 43,765.02 = 17,566.71 : x
  2. Step 2: Convert to fraction form
    31,713.90/43,765.02 = 17,566.71/x
  3. Step 3: Cross multiply
    31,713.90x = 43,765.02 × 17,566.71
  4. Step 4: Simplify right side
    31,713.90x = 768,807,414.48
  5. Step 5: Solve for x
    x = 768,807,414.48/31,713.90
  6. Step 6: Final answer
    x = 24,241.97

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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.