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Finding the Fourth Proportional to 33,107.82, 49,661.79 and 8,148.34

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Solution

The fourth proportional to 33,107.82, 49,661.79 and 8,148.34 is: 12,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.82 : 49,661.79 = 8,148.34 : x
  2. Step 2: Convert to fraction form
    33,107.82/49,661.79 = 8,148.34/x
  3. Step 3: Cross multiply
    33,107.82x = 49,661.79 × 8,148.34
  4. Step 4: Simplify right side
    33,107.82x = 404,661,149.93
  5. Step 5: Solve for x
    x = 404,661,149.93/33,107.82
  6. Step 6: Final answer
    x = 12,222.52

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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.