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Finding the Fourth Proportional to 106,002.66, 159,002.37 and 27,116.22

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Solution

The fourth proportional to 106,002.66, 159,002.37 and 27,116.22 is: 40,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002.66 : 159,002.37 = 27,116.22 : x
  2. Step 2: Convert to fraction form
    106,002.66/159,002.37 = 27,116.22/x
  3. Step 3: Cross multiply
    106,002.66x = 159,002.37 × 27,116.22
  4. Step 4: Simplify right side
    106,002.66x = 4,311,543,245.44
  5. Step 5: Solve for x
    x = 4,311,543,245.44/106,002.66
  6. Step 6: Final answer
    x = 40,673.92

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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.