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Finding the Fourth Proportional to 36,120, 49,847.81 and 20,205.52

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Solution

The fourth proportional to 36,120, 49,847.81 and 20,205.52 is: 27,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,120 : 49,847.81 = 20,205.52 : x
  2. Step 2: Convert to fraction form
    36,120/49,847.81 = 20,205.52/x
  3. Step 3: Cross multiply
    36,120x = 49,847.81 × 20,205.52
  4. Step 4: Simplify right side
    36,120x = 1,007,200,921.91
  5. Step 5: Solve for x
    x = 1,007,200,921.91/36,120
  6. Step 6: Final answer
    x = 27,884.85

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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.