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Finding the Fourth Proportional to 106,000.46, 159,006.17 and 27,115.37

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Solution

The fourth proportional to 106,000.46, 159,006.17 and 27,115.37 is: 40,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,000.46 : 159,006.17 = 27,115.37 : x
  2. Step 2: Convert to fraction form
    106,000.46/159,006.17 = 27,115.37/x
  3. Step 3: Cross multiply
    106,000.46x = 159,006.17 × 27,115.37
  4. Step 4: Simplify right side
    106,000.46x = 4,311,511,131.83
  5. Step 5: Solve for x
    x = 4,311,511,131.83/106,000.46
  6. Step 6: Final answer
    x = 40,674.46

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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.