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Finding the Fourth Proportional to 33,562.10, 50,349.22 and 13,829.68

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Solution

The fourth proportional to 33,562.10, 50,349.22 and 13,829.68 is: 20,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,562.10 : 50,349.22 = 13,829.68 : x
  2. Step 2: Convert to fraction form
    33,562.10/50,349.22 = 13,829.68/x
  3. Step 3: Cross multiply
    33,562.10x = 50,349.22 × 13,829.68
  4. Step 4: Simplify right side
    33,562.10x = 696,313,600.85
  5. Step 5: Solve for x
    x = 696,313,600.85/33,562.10
  6. Step 6: Final answer
    x = 20,747.02

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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.