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Finding the Fourth Proportional to 49,806, 74,716.26 and 18,217.56

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Solution

The fourth proportional to 49,806, 74,716.26 and 18,217.56 is: 27,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806 : 74,716.26 = 18,217.56 : x
  2. Step 2: Convert to fraction form
    49,806/74,716.26 = 18,217.56/x
  3. Step 3: Cross multiply
    49,806x = 74,716.26 × 18,217.56
  4. Step 4: Simplify right side
    49,806x = 1,361,147,949.53
  5. Step 5: Solve for x
    x = 1,361,147,949.53/49,806
  6. Step 6: Final answer
    x = 27,329.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.