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Finding the Fourth Proportional to 31,863.41, 43,972.03 and 17,523.88

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Solution

The fourth proportional to 31,863.41, 43,972.03 and 17,523.88 is: 24,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.41 : 43,972.03 = 17,523.88 : x
  2. Step 2: Convert to fraction form
    31,863.41/43,972.03 = 17,523.88/x
  3. Step 3: Cross multiply
    31,863.41x = 43,972.03 × 17,523.88
  4. Step 4: Simplify right side
    31,863.41x = 770,560,489.05
  5. Step 5: Solve for x
    x = 770,560,489.05/31,863.41
  6. Step 6: Final answer
    x = 24,183.24

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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.