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Finding the Fourth Proportional to 33,561.72, 50,305.68 and 13,829.49

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Solution

The fourth proportional to 33,561.72, 50,305.68 and 13,829.49 is: 20,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,561.72 : 50,305.68 = 13,829.49 : x
  2. Step 2: Convert to fraction form
    33,561.72/50,305.68 = 13,829.49/x
  3. Step 3: Cross multiply
    33,561.72x = 50,305.68 × 13,829.49
  4. Step 4: Simplify right side
    33,561.72x = 695,701,898.50
  5. Step 5: Solve for x
    x = 695,701,898.50/33,561.72
  6. Step 6: Final answer
    x = 20,729.03

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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.