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Finding the Fourth Proportional to 31,874.38, 43,987.21 and 17,727.23

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Solution

The fourth proportional to 31,874.38, 43,987.21 and 17,727.23 is: 24,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.38 : 43,987.21 = 17,727.23 : x
  2. Step 2: Convert to fraction form
    31,874.38/43,987.21 = 17,727.23/x
  3. Step 3: Cross multiply
    31,874.38x = 43,987.21 × 17,727.23
  4. Step 4: Simplify right side
    31,874.38x = 779,771,388.73
  5. Step 5: Solve for x
    x = 779,771,388.73/31,874.38
  6. Step 6: Final answer
    x = 24,463.89

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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.