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Finding the Fourth Proportional to 33,408.26, 50,122.83 and 20,095.78

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Solution

The fourth proportional to 33,408.26, 50,122.83 and 20,095.78 is: 30,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408.26 : 50,122.83 = 20,095.78 : x
  2. Step 2: Convert to fraction form
    33,408.26/50,122.83 = 20,095.78/x
  3. Step 3: Cross multiply
    33,408.26x = 50,122.83 × 20,095.78
  4. Step 4: Simplify right side
    33,408.26x = 1,007,257,364.66
  5. Step 5: Solve for x
    x = 1,007,257,364.66/33,408.26
  6. Step 6: Final answer
    x = 30,149.95

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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.