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Finding the Fourth Proportional to 36,118.50, 49,845.74 and 20,204.02

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Solution

The fourth proportional to 36,118.50, 49,845.74 and 20,204.02 is: 27,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118.50 : 49,845.74 = 20,204.02 : x
  2. Step 2: Convert to fraction form
    36,118.50/49,845.74 = 20,204.02/x
  3. Step 3: Cross multiply
    36,118.50x = 49,845.74 × 20,204.02
  4. Step 4: Simplify right side
    36,118.50x = 1,007,084,327.87
  5. Step 5: Solve for x
    x = 1,007,084,327.87/36,118.50
  6. Step 6: Final answer
    x = 27,882.78

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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.