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Finding the Fourth Proportional to 36,872.66, 50,884.32 and 20,105.66

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Solution

The fourth proportional to 36,872.66, 50,884.32 and 20,105.66 is: 27,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,872.66 : 50,884.32 = 20,105.66 : x
  2. Step 2: Convert to fraction form
    36,872.66/50,884.32 = 20,105.66/x
  3. Step 3: Cross multiply
    36,872.66x = 50,884.32 × 20,105.66
  4. Step 4: Simplify right side
    36,872.66x = 1,023,062,837.25
  5. Step 5: Solve for x
    x = 1,023,062,837.25/36,872.66
  6. Step 6: Final answer
    x = 27,745.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.