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Finding the Fourth Proportional to 31,394.96, 43,301.76 and 29,514.72

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Solution

The fourth proportional to 31,394.96, 43,301.76 and 29,514.72 is: 40,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.96 : 43,301.76 = 29,514.72 : x
  2. Step 2: Convert to fraction form
    31,394.96/43,301.76 = 29,514.72/x
  3. Step 3: Cross multiply
    31,394.96x = 43,301.76 × 29,514.72
  4. Step 4: Simplify right side
    31,394.96x = 1,278,039,321.91
  5. Step 5: Solve for x
    x = 1,278,039,321.91/31,394.96
  6. Step 6: Final answer
    x = 40,708.42

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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.