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Finding the Fourth Proportional to 41,586.87, 57,390.06 and 22,724

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Solution

The fourth proportional to 41,586.87, 57,390.06 and 22,724 is: 31,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586.87 : 57,390.06 = 22,724 : x
  2. Step 2: Convert to fraction form
    41,586.87/57,390.06 = 22,724/x
  3. Step 3: Cross multiply
    41,586.87x = 57,390.06 × 22,724
  4. Step 4: Simplify right side
    41,586.87x = 1,304,131,723.44
  5. Step 5: Solve for x
    x = 1,304,131,723.44/41,586.87
  6. Step 6: Final answer
    x = 31,359.22

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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.