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Finding the Fourth Proportional to 31,617.92, 43,632.42 and 17,470.46

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Solution

The fourth proportional to 31,617.92, 43,632.42 and 17,470.46 is: 24,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.92 : 43,632.42 = 17,470.46 : x
  2. Step 2: Convert to fraction form
    31,617.92/43,632.42 = 17,470.46/x
  3. Step 3: Cross multiply
    31,617.92x = 43,632.42 × 17,470.46
  4. Step 4: Simplify right side
    31,617.92x = 762,278,448.31
  5. Step 5: Solve for x
    x = 762,278,448.31/31,617.92
  6. Step 6: Final answer
    x = 24,109.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.