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Finding the Fourth Proportional to 33,041.86, 49,562.37 and 8,082.12

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Solution

The fourth proportional to 33,041.86, 49,562.37 and 8,082.12 is: 12,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041.86 : 49,562.37 = 8,082.12 : x
  2. Step 2: Convert to fraction form
    33,041.86/49,562.37 = 8,082.12/x
  3. Step 3: Cross multiply
    33,041.86x = 49,562.37 × 8,082.12
  4. Step 4: Simplify right side
    33,041.86x = 400,568,733.60
  5. Step 5: Solve for x
    x = 400,568,733.60/33,041.86
  6. Step 6: Final answer
    x = 12,123.07

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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.