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Finding the Fourth Proportional to 33,471.84, 50,205.32 and 13,745.04

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Solution

The fourth proportional to 33,471.84, 50,205.32 and 13,745.04 is: 20,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471.84 : 50,205.32 = 13,745.04 : x
  2. Step 2: Convert to fraction form
    33,471.84/50,205.32 = 13,745.04/x
  3. Step 3: Cross multiply
    33,471.84x = 50,205.32 × 13,745.04
  4. Step 4: Simplify right side
    33,471.84x = 690,074,131.61
  5. Step 5: Solve for x
    x = 690,074,131.61/33,471.84
  6. Step 6: Final answer
    x = 20,616.56

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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.