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Finding the Fourth Proportional to 31,008.62, 42,791 and 17,581.12

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Solution

The fourth proportional to 31,008.62, 42,791 and 17,581.12 is: 24,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.62 : 42,791 = 17,581.12 : x
  2. Step 2: Convert to fraction form
    31,008.62/42,791 = 17,581.12/x
  3. Step 3: Cross multiply
    31,008.62x = 42,791 × 17,581.12
  4. Step 4: Simplify right side
    31,008.62x = 752,313,705.92
  5. Step 5: Solve for x
    x = 752,313,705.92/31,008.62
  6. Step 6: Final answer
    x = 24,261.44

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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.