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Finding the Fourth Proportional to 41,584.87, 57,387.30 and 22,722

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Solution

The fourth proportional to 41,584.87, 57,387.30 and 22,722 is: 31,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,584.87 : 57,387.30 = 22,722 : x
  2. Step 2: Convert to fraction form
    41,584.87/57,387.30 = 22,722/x
  3. Step 3: Cross multiply
    41,584.87x = 57,387.30 × 22,722
  4. Step 4: Simplify right side
    41,584.87x = 1,303,954,230.60
  5. Step 5: Solve for x
    x = 1,303,954,230.60/41,584.87
  6. Step 6: Final answer
    x = 31,356.46

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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.