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Finding the Fourth Proportional to 106,469.49, 159,679.63 and 31,571.56

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Solution

The fourth proportional to 106,469.49, 159,679.63 and 31,571.56 is: 47,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,469.49 : 159,679.63 = 31,571.56 : x
  2. Step 2: Convert to fraction form
    106,469.49/159,679.63 = 31,571.56/x
  3. Step 3: Cross multiply
    106,469.49x = 159,679.63 × 31,571.56
  4. Step 4: Simplify right side
    106,469.49x = 5,041,335,019.32
  5. Step 5: Solve for x
    x = 5,041,335,019.32/106,469.49
  6. Step 6: Final answer
    x = 47,350.04

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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.