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Finding the Fourth Proportional to 31,616.41, 43,630.56 and 17,469.16

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Solution

The fourth proportional to 31,616.41, 43,630.56 and 17,469.16 is: 24,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.41 : 43,630.56 = 17,469.16 : x
  2. Step 2: Convert to fraction form
    31,616.41/43,630.56 = 17,469.16/x
  3. Step 3: Cross multiply
    31,616.41x = 43,630.56 × 17,469.16
  4. Step 4: Simplify right side
    31,616.41x = 762,189,233.53
  5. Step 5: Solve for x
    x = 762,189,233.53/31,616.41
  6. Step 6: Final answer
    x = 24,107.39

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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.