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Finding the Fourth Proportional to 33,212.81, 49,820.12 and 8,251.85

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Solution

The fourth proportional to 33,212.81, 49,820.12 and 8,251.85 is: 12,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,212.81 : 49,820.12 = 8,251.85 : x
  2. Step 2: Convert to fraction form
    33,212.81/49,820.12 = 8,251.85/x
  3. Step 3: Cross multiply
    33,212.81x = 49,820.12 × 8,251.85
  4. Step 4: Simplify right side
    33,212.81x = 411,107,866.86
  5. Step 5: Solve for x
    x = 411,107,866.86/33,212.81
  6. Step 6: Final answer
    x = 12,377.99

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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.