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Finding the Fourth Proportional to 33,839.52, 50,757.12 and 10,464

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Solution

The fourth proportional to 33,839.52, 50,757.12 and 10,464 is: 15,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,839.52 : 50,757.12 = 10,464 : x
  2. Step 2: Convert to fraction form
    33,839.52/50,757.12 = 10,464/x
  3. Step 3: Cross multiply
    33,839.52x = 50,757.12 × 10,464
  4. Step 4: Simplify right side
    33,839.52x = 531,122,503.68
  5. Step 5: Solve for x
    x = 531,122,503.68/33,839.52
  6. Step 6: Final answer
    x = 15,695.33

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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.