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Finding the Fourth Proportional to 41,585.87, 57,388.68 and 22,723

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Solution

The fourth proportional to 41,585.87, 57,388.68 and 22,723 is: 31,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,585.87 : 57,388.68 = 22,723 : x
  2. Step 2: Convert to fraction form
    41,585.87/57,388.68 = 22,723/x
  3. Step 3: Cross multiply
    41,585.87x = 57,388.68 × 22,723
  4. Step 4: Simplify right side
    41,585.87x = 1,304,042,975.64
  5. Step 5: Solve for x
    x = 1,304,042,975.64/41,585.87
  6. Step 6: Final answer
    x = 31,357.84

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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.