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Finding the Fourth Proportional to 33,947.25, 50,922.24 and 16,168.76

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Solution

The fourth proportional to 33,947.25, 50,922.24 and 16,168.76 is: 24,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.25 : 50,922.24 = 16,168.76 : x
  2. Step 2: Convert to fraction form
    33,947.25/50,922.24 = 16,168.76/x
  3. Step 3: Cross multiply
    33,947.25x = 50,922.24 × 16,168.76
  4. Step 4: Simplify right side
    33,947.25x = 823,349,775.80
  5. Step 5: Solve for x
    x = 823,349,775.80/33,947.25
  6. Step 6: Final answer
    x = 24,253.80

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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.