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Finding the Fourth Proportional to 33,302, 49,951.85 and 8,342.27

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Solution

The fourth proportional to 33,302, 49,951.85 and 8,342.27 is: 12,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302 : 49,951.85 = 8,342.27 : x
  2. Step 2: Convert to fraction form
    33,302/49,951.85 = 8,342.27/x
  3. Step 3: Cross multiply
    33,302x = 49,951.85 × 8,342.27
  4. Step 4: Simplify right side
    33,302x = 416,711,569.94
  5. Step 5: Solve for x
    x = 416,711,569.94/33,302
  6. Step 6: Final answer
    x = 12,513.11

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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.