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Finding the Fourth Proportional to 31,982.30, 44,123.91 and 20,046.14

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Solution

The fourth proportional to 31,982.30, 44,123.91 and 20,046.14 is: 27,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982.30 : 44,123.91 = 20,046.14 : x
  2. Step 2: Convert to fraction form
    31,982.30/44,123.91 = 20,046.14/x
  3. Step 3: Cross multiply
    31,982.30x = 44,123.91 × 20,046.14
  4. Step 4: Simplify right side
    31,982.30x = 884,514,077.21
  5. Step 5: Solve for x
    x = 884,514,077.21/31,982.30
  6. Step 6: Final answer
    x = 27,656.36

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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.