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Finding the Fourth Proportional to 34,766.08, 51,839.36 and 34,144

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Solution

The fourth proportional to 34,766.08, 51,839.36 and 34,144 is: 50,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.08 : 51,839.36 = 34,144 : x
  2. Step 2: Convert to fraction form
    34,766.08/51,839.36 = 34,144/x
  3. Step 3: Cross multiply
    34,766.08x = 51,839.36 × 34,144
  4. Step 4: Simplify right side
    34,766.08x = 1,770,003,107.84
  5. Step 5: Solve for x
    x = 1,770,003,107.84/34,766.08
  6. Step 6: Final answer
    x = 50,911.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.