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Finding the Fourth Proportional to 31,854.67, 43,958.52 and 17,514.49

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Solution

The fourth proportional to 31,854.67, 43,958.52 and 17,514.49 is: 24,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.67 : 43,958.52 = 17,514.49 : x
  2. Step 2: Convert to fraction form
    31,854.67/43,958.52 = 17,514.49/x
  3. Step 3: Cross multiply
    31,854.67x = 43,958.52 × 17,514.49
  4. Step 4: Simplify right side
    31,854.67x = 769,910,998.64
  5. Step 5: Solve for x
    x = 769,910,998.64/31,854.67
  6. Step 6: Final answer
    x = 24,169.48

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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.