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Finding the Fourth Proportional to 33,081.57, 49,614.89 and 9,709.83

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Solution

The fourth proportional to 33,081.57, 49,614.89 and 9,709.83 is: 14,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.57 : 49,614.89 = 9,709.83 : x
  2. Step 2: Convert to fraction form
    33,081.57/49,614.89 = 9,709.83/x
  3. Step 3: Cross multiply
    33,081.57x = 49,614.89 × 9,709.83
  4. Step 4: Simplify right side
    33,081.57x = 481,752,098.82
  5. Step 5: Solve for x
    x = 481,752,098.82/33,081.57
  6. Step 6: Final answer
    x = 14,562.55

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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.