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Finding the Fourth Proportional to 36,822.16, 50,815.92 and 20,906.20

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Solution

The fourth proportional to 36,822.16, 50,815.92 and 20,906.20 is: 28,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,822.16 : 50,815.92 = 20,906.20 : x
  2. Step 2: Convert to fraction form
    36,822.16/50,815.92 = 20,906.20/x
  3. Step 3: Cross multiply
    36,822.16x = 50,815.92 × 20,906.20
  4. Step 4: Simplify right side
    36,822.16x = 1,062,367,786.70
  5. Step 5: Solve for x
    x = 1,062,367,786.70/36,822.16
  6. Step 6: Final answer
    x = 28,851.32

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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.