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Finding the Fourth Proportional to 33,824.75, 50,745.42 and 11,638.44

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Solution

The fourth proportional to 33,824.75, 50,745.42 and 11,638.44 is: 17,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.75 : 50,745.42 = 11,638.44 : x
  2. Step 2: Convert to fraction form
    33,824.75/50,745.42 = 11,638.44/x
  3. Step 3: Cross multiply
    33,824.75x = 50,745.42 × 11,638.44
  4. Step 4: Simplify right side
    33,824.75x = 590,597,525.94
  5. Step 5: Solve for x
    x = 590,597,525.94/33,824.75
  6. Step 6: Final answer
    x = 17,460.52

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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.