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Finding the Fourth Proportional to 31,287, 43,169.34 and 18,544.17

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Solution

The fourth proportional to 31,287, 43,169.34 and 18,544.17 is: 25,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287 : 43,169.34 = 18,544.17 : x
  2. Step 2: Convert to fraction form
    31,287/43,169.34 = 18,544.17/x
  3. Step 3: Cross multiply
    31,287x = 43,169.34 × 18,544.17
  4. Step 4: Simplify right side
    31,287x = 800,539,579.75
  5. Step 5: Solve for x
    x = 800,539,579.75/31,287
  6. Step 6: Final answer
    x = 25,586.97

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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.