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Finding the Fourth Proportional to 33,082.17, 49,622.79 and 8,122.12

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Solution

The fourth proportional to 33,082.17, 49,622.79 and 8,122.12 is: 12,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.17 : 49,622.79 = 8,122.12 : x
  2. Step 2: Convert to fraction form
    33,082.17/49,622.79 = 8,122.12/x
  3. Step 3: Cross multiply
    33,082.17x = 49,622.79 × 8,122.12
  4. Step 4: Simplify right side
    33,082.17x = 403,042,161.52
  5. Step 5: Solve for x
    x = 403,042,161.52/33,082.17
  6. Step 6: Final answer
    x = 12,183.06

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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.