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Finding the Fourth Proportional to 33,409.43, 50,114.82 and 12,338.61

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Solution

The fourth proportional to 33,409.43, 50,114.82 and 12,338.61 is: 18,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.43 : 50,114.82 = 12,338.61 : x
  2. Step 2: Convert to fraction form
    33,409.43/50,114.82 = 12,338.61/x
  3. Step 3: Cross multiply
    33,409.43x = 50,114.82 × 12,338.61
  4. Step 4: Simplify right side
    33,409.43x = 618,347,290.03
  5. Step 5: Solve for x
    x = 618,347,290.03/33,409.43
  6. Step 6: Final answer
    x = 18,508.17

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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.