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Finding the Fourth Proportional to 33,638.67, 50,463.54 and 11,449.80

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Solution

The fourth proportional to 33,638.67, 50,463.54 and 11,449.80 is: 17,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.67 : 50,463.54 = 11,449.80 : x
  2. Step 2: Convert to fraction form
    33,638.67/50,463.54 = 11,449.80/x
  3. Step 3: Cross multiply
    33,638.67x = 50,463.54 × 11,449.80
  4. Step 4: Simplify right side
    33,638.67x = 577,797,440.29
  5. Step 5: Solve for x
    x = 577,797,440.29/33,638.67
  6. Step 6: Final answer
    x = 17,176.58

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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.