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Finding the Fourth Proportional to 33,081.30, 49,621.97 and 8,121.49

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Solution

The fourth proportional to 33,081.30, 49,621.97 and 8,121.49 is: 12,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081.30 : 49,621.97 = 8,121.49 : x
  2. Step 2: Convert to fraction form
    33,081.30/49,621.97 = 8,121.49/x
  3. Step 3: Cross multiply
    33,081.30x = 49,621.97 × 8,121.49
  4. Step 4: Simplify right side
    33,081.30x = 403,004,229.38
  5. Step 5: Solve for x
    x = 403,004,229.38/33,081.30
  6. Step 6: Final answer
    x = 12,182.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.