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Finding the Fourth Proportional to 102,896.40, 154,355.67 and 32,759.31

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Solution

The fourth proportional to 102,896.40, 154,355.67 and 32,759.31 is: 49,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,896.40 : 154,355.67 = 32,759.31 : x
  2. Step 2: Convert to fraction form
    102,896.40/154,355.67 = 32,759.31/x
  3. Step 3: Cross multiply
    102,896.40x = 154,355.67 × 32,759.31
  4. Step 4: Simplify right side
    102,896.40x = 5,056,585,243.79
  5. Step 5: Solve for x
    x = 5,056,585,243.79/102,896.40
  6. Step 6: Final answer
    x = 49,142.49

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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.