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Finding the Fourth Proportional to 33,627.96, 50,422.50 and 13,920.66

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Solution

The fourth proportional to 33,627.96, 50,422.50 and 13,920.66 is: 20,872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,627.96 : 50,422.50 = 13,920.66 : x
  2. Step 2: Convert to fraction form
    33,627.96/50,422.50 = 13,920.66/x
  3. Step 3: Cross multiply
    33,627.96x = 50,422.50 × 13,920.66
  4. Step 4: Simplify right side
    33,627.96x = 701,914,478.85
  5. Step 5: Solve for x
    x = 701,914,478.85/33,627.96
  6. Step 6: Final answer
    x = 20,872.94

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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.