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Finding the Fourth Proportional to 54,367.44, 75,027.21 and 31,722

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Solution

The fourth proportional to 54,367.44, 75,027.21 and 31,722 is: 43,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,367.44 : 75,027.21 = 31,722 : x
  2. Step 2: Convert to fraction form
    54,367.44/75,027.21 = 31,722/x
  3. Step 3: Cross multiply
    54,367.44x = 75,027.21 × 31,722
  4. Step 4: Simplify right side
    54,367.44x = 2,380,012,997.01
  5. Step 5: Solve for x
    x = 2,380,012,997.01/54,367.44
  6. Step 6: Final answer
    x = 43,776.44

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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.