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Finding the Fourth Proportional to 33,414.72, 50,128.20 and 11,230.44

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Solution

The fourth proportional to 33,414.72, 50,128.20 and 11,230.44 is: 16,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.72 : 50,128.20 = 11,230.44 : x
  2. Step 2: Convert to fraction form
    33,414.72/50,128.20 = 11,230.44/x
  3. Step 3: Cross multiply
    33,414.72x = 50,128.20 × 11,230.44
  4. Step 4: Simplify right side
    33,414.72x = 562,961,742.41
  5. Step 5: Solve for x
    x = 562,961,742.41/33,414.72
  6. Step 6: Final answer
    x = 16,847.72

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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.