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Finding the Fourth Proportional to 33,132.85, 49,715.22 and 16,494.33

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Solution

The fourth proportional to 33,132.85, 49,715.22 and 16,494.33 is: 24,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,132.85 : 49,715.22 = 16,494.33 : x
  2. Step 2: Convert to fraction form
    33,132.85/49,715.22 = 16,494.33/x
  3. Step 3: Cross multiply
    33,132.85x = 49,715.22 × 16,494.33
  4. Step 4: Simplify right side
    33,132.85x = 820,019,162.23
  5. Step 5: Solve for x
    x = 820,019,162.23/33,132.85
  6. Step 6: Final answer
    x = 24,749.43

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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.