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Finding the Fourth Proportional to 33,219.69, 49,829.34 and 12,161.19

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Solution

The fourth proportional to 33,219.69, 49,829.34 and 12,161.19 is: 18,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.69 : 49,829.34 = 12,161.19 : x
  2. Step 2: Convert to fraction form
    33,219.69/49,829.34 = 12,161.19/x
  3. Step 3: Cross multiply
    33,219.69x = 49,829.34 × 12,161.19
  4. Step 4: Simplify right side
    33,219.69x = 605,984,071.31
  5. Step 5: Solve for x
    x = 605,984,071.31/33,219.69
  6. Step 6: Final answer
    x = 18,241.71

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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.