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Finding the Fourth Proportional to 33,403.68, 50,105.43 and 13,682.25

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Solution

The fourth proportional to 33,403.68, 50,105.43 and 13,682.25 is: 20,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,403.68 : 50,105.43 = 13,682.25 : x
  2. Step 2: Convert to fraction form
    33,403.68/50,105.43 = 13,682.25/x
  3. Step 3: Cross multiply
    33,403.68x = 50,105.43 × 13,682.25
  4. Step 4: Simplify right side
    33,403.68x = 685,555,019.62
  5. Step 5: Solve for x
    x = 685,555,019.62/33,403.68
  6. Step 6: Final answer
    x = 20,523.34

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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.