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Finding the Fourth Proportional to 33,638.97, 50,433.80 and 11,446.38

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Solution

The fourth proportional to 33,638.97, 50,433.80 and 11,446.38 is: 17,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.97 : 50,433.80 = 11,446.38 : x
  2. Step 2: Convert to fraction form
    33,638.97/50,433.80 = 11,446.38/x
  3. Step 3: Cross multiply
    33,638.97x = 50,433.80 × 11,446.38
  4. Step 4: Simplify right side
    33,638.97x = 577,284,382.41
  5. Step 5: Solve for x
    x = 577,284,382.41/33,638.97
  6. Step 6: Final answer
    x = 17,161.18

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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.