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Finding the Fourth Proportional to 36,138.40, 49,866.64 and 20,221.60

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Solution

The fourth proportional to 36,138.40, 49,866.64 and 20,221.60 is: 27,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.40 : 49,866.64 = 20,221.60 : x
  2. Step 2: Convert to fraction form
    36,138.40/49,866.64 = 20,221.60/x
  3. Step 3: Cross multiply
    36,138.40x = 49,866.64 × 20,221.60
  4. Step 4: Simplify right side
    36,138.40x = 1,008,383,247.42
  5. Step 5: Solve for x
    x = 1,008,383,247.42/36,138.40
  6. Step 6: Final answer
    x = 27,903.37

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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.