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Finding the Fourth Proportional to 106,471.50, 159,707.24 and 27,585.73

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Solution

The fourth proportional to 106,471.50, 159,707.24 and 27,585.73 is: 41,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,471.50 : 159,707.24 = 27,585.73 : x
  2. Step 2: Convert to fraction form
    106,471.50/159,707.24 = 27,585.73/x
  3. Step 3: Cross multiply
    106,471.50x = 159,707.24 × 27,585.73
  4. Step 4: Simplify right side
    106,471.50x = 4,405,640,801.69
  5. Step 5: Solve for x
    x = 4,405,640,801.69/106,471.50
  6. Step 6: Final answer
    x = 41,378.59

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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.