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Finding the Fourth Proportional to 106,022.44, 159,033.50 and 27,136.68

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Solution

The fourth proportional to 106,022.44, 159,033.50 and 27,136.68 is: 40,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,022.44 : 159,033.50 = 27,136.68 : x
  2. Step 2: Convert to fraction form
    106,022.44/159,033.50 = 27,136.68/x
  3. Step 3: Cross multiply
    106,022.44x = 159,033.50 × 27,136.68
  4. Step 4: Simplify right side
    106,022.44x = 4,315,641,198.78
  5. Step 5: Solve for x
    x = 4,315,641,198.78/106,022.44
  6. Step 6: Final answer
    x = 40,704.98

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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.