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Finding the Fourth Proportional to 31,662.38, 43,694.09 and 17,516.13

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Solution

The fourth proportional to 31,662.38, 43,694.09 and 17,516.13 is: 24,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.38 : 43,694.09 = 17,516.13 : x
  2. Step 2: Convert to fraction form
    31,662.38/43,694.09 = 17,516.13/x
  3. Step 3: Cross multiply
    31,662.38x = 43,694.09 × 17,516.13
  4. Step 4: Simplify right side
    31,662.38x = 765,351,273.09
  5. Step 5: Solve for x
    x = 765,351,273.09/31,662.38
  6. Step 6: Final answer
    x = 24,172.26

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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.