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Finding the Fourth Proportional to 83,450.92, 115,183.62 and 51,601

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Solution

The fourth proportional to 83,450.92, 115,183.62 and 51,601 is: 71,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,450.92 : 115,183.62 = 51,601 : x
  2. Step 2: Convert to fraction form
    83,450.92/115,183.62 = 51,601/x
  3. Step 3: Cross multiply
    83,450.92x = 115,183.62 × 51,601
  4. Step 4: Simplify right side
    83,450.92x = 5,943,589,975.62
  5. Step 5: Solve for x
    x = 5,943,589,975.62/83,450.92
  6. Step 6: Final answer
    x = 71,222.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.