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Finding the Fourth Proportional to 36,822.24, 50,815.26 and 20,055.24

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Solution

The fourth proportional to 36,822.24, 50,815.26 and 20,055.24 is: 27,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,822.24 : 50,815.26 = 20,055.24 : x
  2. Step 2: Convert to fraction form
    36,822.24/50,815.26 = 20,055.24/x
  3. Step 3: Cross multiply
    36,822.24x = 50,815.26 × 20,055.24
  4. Step 4: Simplify right side
    36,822.24x = 1,019,112,234.96
  5. Step 5: Solve for x
    x = 1,019,112,234.96/36,822.24
  6. Step 6: Final answer
    x = 27,676.54

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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.