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Finding the Fourth Proportional to 106,544.06, 159,816.40 and 27,658.97

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Solution

The fourth proportional to 106,544.06, 159,816.40 and 27,658.97 is: 41,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,544.06 : 159,816.40 = 27,658.97 : x
  2. Step 2: Convert to fraction form
    106,544.06/159,816.40 = 27,658.97/x
  3. Step 3: Cross multiply
    106,544.06x = 159,816.40 × 27,658.97
  4. Step 4: Simplify right side
    106,544.06x = 4,420,357,343.50
  5. Step 5: Solve for x
    x = 4,420,357,343.50/106,544.06
  6. Step 6: Final answer
    x = 41,488.54

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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.