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Finding the Fourth Proportional to 33,823.32, 50,745.78 and 16,294.92

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Solution

The fourth proportional to 33,823.32, 50,745.78 and 16,294.92 is: 24,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.32 : 50,745.78 = 16,294.92 : x
  2. Step 2: Convert to fraction form
    33,823.32/50,745.78 = 16,294.92/x
  3. Step 3: Cross multiply
    33,823.32x = 50,745.78 × 16,294.92
  4. Step 4: Simplify right side
    33,823.32x = 826,898,425.44
  5. Step 5: Solve for x
    x = 826,898,425.44/33,823.32
  6. Step 6: Final answer
    x = 24,447.58

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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.