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Finding the Fourth Proportional to 33,382.75, 50,072.81 and 8,422.49

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Solution

The fourth proportional to 33,382.75, 50,072.81 and 8,422.49 is: 12,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382.75 : 50,072.81 = 8,422.49 : x
  2. Step 2: Convert to fraction form
    33,382.75/50,072.81 = 8,422.49/x
  3. Step 3: Cross multiply
    33,382.75x = 50,072.81 × 8,422.49
  4. Step 4: Simplify right side
    33,382.75x = 421,737,512.19
  5. Step 5: Solve for x
    x = 421,737,512.19/33,382.75
  6. Step 6: Final answer
    x = 12,633.40

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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.