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Finding the Fourth Proportional to 106,470.50, 159,705.74 and 27,584.73

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Solution

The fourth proportional to 106,470.50, 159,705.74 and 27,584.73 is: 41,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470.50 : 159,705.74 = 27,584.73 : x
  2. Step 2: Convert to fraction form
    106,470.50/159,705.74 = 27,584.73/x
  3. Step 3: Cross multiply
    106,470.50x = 159,705.74 × 27,584.73
  4. Step 4: Simplify right side
    106,470.50x = 4,405,439,786.31
  5. Step 5: Solve for x
    x = 4,405,439,786.31/106,470.50
  6. Step 6: Final answer
    x = 41,377.10

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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.