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Finding the Fourth Proportional to 31,781.96, 43,858.91 and 18,354.38

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Solution

The fourth proportional to 31,781.96, 43,858.91 and 18,354.38 is: 25,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.96 : 43,858.91 = 18,354.38 : x
  2. Step 2: Convert to fraction form
    31,781.96/43,858.91 = 18,354.38/x
  3. Step 3: Cross multiply
    31,781.96x = 43,858.91 × 18,354.38
  4. Step 4: Simplify right side
    31,781.96x = 805,002,789.46
  5. Step 5: Solve for x
    x = 805,002,789.46/31,781.96
  6. Step 6: Final answer
    x = 25,328.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.