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Finding the Fourth Proportional to 106,001.41, 159,000.50 and 27,114.97

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Solution

The fourth proportional to 106,001.41, 159,000.50 and 27,114.97 is: 40,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,001.41 : 159,000.50 = 27,114.97 : x
  2. Step 2: Convert to fraction form
    106,001.41/159,000.50 = 27,114.97/x
  3. Step 3: Cross multiply
    106,001.41x = 159,000.50 × 27,114.97
  4. Step 4: Simplify right side
    106,001.41x = 4,311,293,651.91
  5. Step 5: Solve for x
    x = 4,311,293,651.91/106,001.41
  6. Step 6: Final answer
    x = 40,672.04

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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.