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Finding the Fourth Proportional to 31,744.80, 43,813 and 24,179.04

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Solution

The fourth proportional to 31,744.80, 43,813 and 24,179.04 is: 33,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.80 : 43,813 = 24,179.04 : x
  2. Step 2: Convert to fraction form
    31,744.80/43,813 = 24,179.04/x
  3. Step 3: Cross multiply
    31,744.80x = 43,813 × 24,179.04
  4. Step 4: Simplify right side
    31,744.80x = 1,059,356,279.52
  5. Step 5: Solve for x
    x = 1,059,356,279.52/31,744.80
  6. Step 6: Final answer
    x = 33,371.02

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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.