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Finding the Fourth Proportional to 33,099.69, 49,649.10 and 8,139.95

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Solution

The fourth proportional to 33,099.69, 49,649.10 and 8,139.95 is: 12,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.69 : 49,649.10 = 8,139.95 : x
  2. Step 2: Convert to fraction form
    33,099.69/49,649.10 = 8,139.95/x
  3. Step 3: Cross multiply
    33,099.69x = 49,649.10 × 8,139.95
  4. Step 4: Simplify right side
    33,099.69x = 404,141,191.55
  5. Step 5: Solve for x
    x = 404,141,191.55/33,099.69
  6. Step 6: Final answer
    x = 12,209.82

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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.