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Finding the Fourth Proportional to 103,834.50, 155,787.84 and 32,768.07

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Solution

The fourth proportional to 103,834.50, 155,787.84 and 32,768.07 is: 49,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,834.50 : 155,787.84 = 32,768.07 : x
  2. Step 2: Convert to fraction form
    103,834.50/155,787.84 = 32,768.07/x
  3. Step 3: Cross multiply
    103,834.50x = 155,787.84 × 32,768.07
  4. Step 4: Simplify right side
    103,834.50x = 5,104,866,846.27
  5. Step 5: Solve for x
    x = 5,104,866,846.27/103,834.50
  6. Step 6: Final answer
    x = 49,163.49

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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.