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Finding the Fourth Proportional to 33,163.82, 49,747.68 and 9,469.55

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Solution

The fourth proportional to 33,163.82, 49,747.68 and 9,469.55 is: 14,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.82 : 49,747.68 = 9,469.55 : x
  2. Step 2: Convert to fraction form
    33,163.82/49,747.68 = 9,469.55/x
  3. Step 3: Cross multiply
    33,163.82x = 49,747.68 × 9,469.55
  4. Step 4: Simplify right side
    33,163.82x = 471,088,143.14
  5. Step 5: Solve for x
    x = 471,088,143.14/33,163.82
  6. Step 6: Final answer
    x = 14,204.88

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Why These Related Problems?

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