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Finding the Fourth Proportional to 33,116.68, 49,640.46 and 13,387.24

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Solution

The fourth proportional to 33,116.68, 49,640.46 and 13,387.24 is: 20,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116.68 : 49,640.46 = 13,387.24 : x
  2. Step 2: Convert to fraction form
    33,116.68/49,640.46 = 13,387.24/x
  3. Step 3: Cross multiply
    33,116.68x = 49,640.46 × 13,387.24
  4. Step 4: Simplify right side
    33,116.68x = 664,548,751.73
  5. Step 5: Solve for x
    x = 664,548,751.73/33,116.68
  6. Step 6: Final answer
    x = 20,066.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.