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Finding the Fourth Proportional to 36,310.41, 50,105.37 and 20,178.20

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Solution

The fourth proportional to 36,310.41, 50,105.37 and 20,178.20 is: 27,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,310.41 : 50,105.37 = 20,178.20 : x
  2. Step 2: Convert to fraction form
    36,310.41/50,105.37 = 20,178.20/x
  3. Step 3: Cross multiply
    36,310.41x = 50,105.37 × 20,178.20
  4. Step 4: Simplify right side
    36,310.41x = 1,011,035,926.41
  5. Step 5: Solve for x
    x = 1,011,035,926.41/36,310.41
  6. Step 6: Final answer
    x = 27,844.24

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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.