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Finding the Fourth Proportional to 33,047.69, 49,571.10 and 8,087.96

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Solution

The fourth proportional to 33,047.69, 49,571.10 and 8,087.96 is: 12,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,047.69 : 49,571.10 = 8,087.96 : x
  2. Step 2: Convert to fraction form
    33,047.69/49,571.10 = 8,087.96/x
  3. Step 3: Cross multiply
    33,047.69x = 49,571.10 × 8,087.96
  4. Step 4: Simplify right side
    33,047.69x = 400,929,073.96
  5. Step 5: Solve for x
    x = 400,929,073.96/33,047.69
  6. Step 6: Final answer
    x = 12,131.83

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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.