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Finding the Fourth Proportional to 31,617.84, 43,632 and 17,470.56

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Solution

The fourth proportional to 31,617.84, 43,632 and 17,470.56 is: 24,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,617.84 : 43,632 = 17,470.56 : x
  2. Step 2: Convert to fraction form
    31,617.84/43,632 = 17,470.56/x
  3. Step 3: Cross multiply
    31,617.84x = 43,632 × 17,470.56
  4. Step 4: Simplify right side
    31,617.84x = 762,275,473.92
  5. Step 5: Solve for x
    x = 762,275,473.92/31,617.84
  6. Step 6: Final answer
    x = 24,109.03

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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.