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Finding the Fourth Proportional to 36,287.94, 50,082.82 and 22,149

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Solution

The fourth proportional to 36,287.94, 50,082.82 and 22,149 is: 30,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,287.94 : 50,082.82 = 22,149 : x
  2. Step 2: Convert to fraction form
    36,287.94/50,082.82 = 22,149/x
  3. Step 3: Cross multiply
    36,287.94x = 50,082.82 × 22,149
  4. Step 4: Simplify right side
    36,287.94x = 1,109,284,380.18
  5. Step 5: Solve for x
    x = 1,109,284,380.18/36,287.94
  6. Step 6: Final answer
    x = 30,568.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.