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Finding the Fourth Proportional to 33,825.90, 50,741.84 and 8,865.85

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Solution

The fourth proportional to 33,825.90, 50,741.84 and 8,865.85 is: 13,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.90 : 50,741.84 = 8,865.85 : x
  2. Step 2: Convert to fraction form
    33,825.90/50,741.84 = 8,865.85/x
  3. Step 3: Cross multiply
    33,825.90x = 50,741.84 × 8,865.85
  4. Step 4: Simplify right side
    33,825.90x = 449,869,542.16
  5. Step 5: Solve for x
    x = 449,869,542.16/33,825.90
  6. Step 6: Final answer
    x = 13,299.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.