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Finding the Fourth Proportional to 31,491.76, 43,456.76 and 17,344.24

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Solution

The fourth proportional to 31,491.76, 43,456.76 and 17,344.24 is: 23,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.76 : 43,456.76 = 17,344.24 : x
  2. Step 2: Convert to fraction form
    31,491.76/43,456.76 = 17,344.24/x
  3. Step 3: Cross multiply
    31,491.76x = 43,456.76 × 17,344.24
  4. Step 4: Simplify right side
    31,491.76x = 753,724,475.06
  5. Step 5: Solve for x
    x = 753,724,475.06/31,491.76
  6. Step 6: Final answer
    x = 23,934.02

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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.