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Finding the Fourth Proportional to 31,616.46, 43,631.60 and 17,470.22

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Solution

The fourth proportional to 31,616.46, 43,631.60 and 17,470.22 is: 24,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.46 : 43,631.60 = 17,470.22 : x
  2. Step 2: Convert to fraction form
    31,616.46/43,631.60 = 17,470.22/x
  3. Step 3: Cross multiply
    31,616.46x = 43,631.60 × 17,470.22
  4. Step 4: Simplify right side
    31,616.46x = 762,253,345.44
  5. Step 5: Solve for x
    x = 762,253,345.44/31,616.46
  6. Step 6: Final answer
    x = 24,109.38

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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.