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Finding the Fourth Proportional to 33,238.65, 49,843.38 and 12,447.57

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Solution

The fourth proportional to 33,238.65, 49,843.38 and 12,447.57 is: 18,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.65 : 49,843.38 = 12,447.57 : x
  2. Step 2: Convert to fraction form
    33,238.65/49,843.38 = 12,447.57/x
  3. Step 3: Cross multiply
    33,238.65x = 49,843.38 × 12,447.57
  4. Step 4: Simplify right side
    33,238.65x = 620,428,961.59
  5. Step 5: Solve for x
    x = 620,428,961.59/33,238.65
  6. Step 6: Final answer
    x = 18,665.89

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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.