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Finding the Fourth Proportional to 33,882.35, 50,757.89 and 16,364.48

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Solution

The fourth proportional to 33,882.35, 50,757.89 and 16,364.48 is: 24,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.35 : 50,757.89 = 16,364.48 : x
  2. Step 2: Convert to fraction form
    33,882.35/50,757.89 = 16,364.48/x
  3. Step 3: Cross multiply
    33,882.35x = 50,757.89 × 16,364.48
  4. Step 4: Simplify right side
    33,882.35x = 830,626,140.14
  5. Step 5: Solve for x
    x = 830,626,140.14/33,882.35
  6. Step 6: Final answer
    x = 24,515.01

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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.