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Finding the Fourth Proportional to 33,144.82, 49,681.14 and 16,517.14

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Solution

The fourth proportional to 33,144.82, 49,681.14 and 16,517.14 is: 24,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144.82 : 49,681.14 = 16,517.14 : x
  2. Step 2: Convert to fraction form
    33,144.82/49,681.14 = 16,517.14/x
  3. Step 3: Cross multiply
    33,144.82x = 49,681.14 × 16,517.14
  4. Step 4: Simplify right side
    33,144.82x = 820,590,344.74
  5. Step 5: Solve for x
    x = 820,590,344.74/33,144.82
  6. Step 6: Final answer
    x = 24,757.73

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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.