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Finding the Fourth Proportional to 36,822.92, 50,816.18 and 20,056.20

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Solution

The fourth proportional to 36,822.92, 50,816.18 and 20,056.20 is: 27,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,822.92 : 50,816.18 = 20,056.20 : x
  2. Step 2: Convert to fraction form
    36,822.92/50,816.18 = 20,056.20/x
  3. Step 3: Cross multiply
    36,822.92x = 50,816.18 × 20,056.20
  4. Step 4: Simplify right side
    36,822.92x = 1,019,179,469.32
  5. Step 5: Solve for x
    x = 1,019,179,469.32/36,822.92
  6. Step 6: Final answer
    x = 27,677.86

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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.