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Finding the Fourth Proportional to 33,107.60, 49,661.94 and 8,147.72

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Solution

The fourth proportional to 33,107.60, 49,661.94 and 8,147.72 is: 12,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.60 : 49,661.94 = 8,147.72 : x
  2. Step 2: Convert to fraction form
    33,107.60/49,661.94 = 8,147.72/x
  3. Step 3: Cross multiply
    33,107.60x = 49,661.94 × 8,147.72
  4. Step 4: Simplify right side
    33,107.60x = 404,631,581.78
  5. Step 5: Solve for x
    x = 404,631,581.78/33,107.60
  6. Step 6: Final answer
    x = 12,221.71

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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.