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Finding the Fourth Proportional to 36,138.60, 49,871.19 and 20,226.09

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Solution

The fourth proportional to 36,138.60, 49,871.19 and 20,226.09 is: 27,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.60 : 49,871.19 = 20,226.09 : x
  2. Step 2: Convert to fraction form
    36,138.60/49,871.19 = 20,226.09/x
  3. Step 3: Cross multiply
    36,138.60x = 49,871.19 × 20,226.09
  4. Step 4: Simplify right side
    36,138.60x = 1,008,699,177.35
  5. Step 5: Solve for x
    x = 1,008,699,177.35/36,138.60
  6. Step 6: Final answer
    x = 27,911.96

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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.