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Finding the Fourth Proportional to 31,486.52, 43,454.47 and 23,514.91

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Solution

The fourth proportional to 31,486.52, 43,454.47 and 23,514.91 is: 32,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.52 : 43,454.47 = 23,514.91 : x
  2. Step 2: Convert to fraction form
    31,486.52/43,454.47 = 23,514.91/x
  3. Step 3: Cross multiply
    31,486.52x = 43,454.47 × 23,514.91
  4. Step 4: Simplify right side
    31,486.52x = 1,021,827,645.69
  5. Step 5: Solve for x
    x = 1,021,827,645.69/31,486.52
  6. Step 6: Final answer
    x = 32,452.86

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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.