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Finding the Fourth Proportional to 33,613.96, 50,435.34 and 13,906.84

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Solution

The fourth proportional to 33,613.96, 50,435.34 and 13,906.84 is: 20,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,613.96 : 50,435.34 = 13,906.84 : x
  2. Step 2: Convert to fraction form
    33,613.96/50,435.34 = 13,906.84/x
  3. Step 3: Cross multiply
    33,613.96x = 50,435.34 × 13,906.84
  4. Step 4: Simplify right side
    33,613.96x = 701,396,203.73
  5. Step 5: Solve for x
    x = 701,396,203.73/33,613.96
  6. Step 6: Final answer
    x = 20,866.22

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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.