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Finding the Fourth Proportional to 33,632.75, 50,442.24 and 12,568.90

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Solution

The fourth proportional to 33,632.75, 50,442.24 and 12,568.90 is: 18,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632.75 : 50,442.24 = 12,568.90 : x
  2. Step 2: Convert to fraction form
    33,632.75/50,442.24 = 12,568.90/x
  3. Step 3: Cross multiply
    33,632.75x = 50,442.24 × 12,568.90
  4. Step 4: Simplify right side
    33,632.75x = 634,003,470.34
  5. Step 5: Solve for x
    x = 634,003,470.34/33,632.75
  6. Step 6: Final answer
    x = 18,850.78

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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.