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Finding the Fourth Proportional to 33,163.43, 49,765.64 and 13,442.15

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Solution

The fourth proportional to 33,163.43, 49,765.64 and 13,442.15 is: 20,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.43 : 49,765.64 = 13,442.15 : x
  2. Step 2: Convert to fraction form
    33,163.43/49,765.64 = 13,442.15/x
  3. Step 3: Cross multiply
    33,163.43x = 49,765.64 × 13,442.15
  4. Step 4: Simplify right side
    33,163.43x = 668,957,330.54
  5. Step 5: Solve for x
    x = 668,957,330.54/33,163.43
  6. Step 6: Final answer
    x = 20,171.54

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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.