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Finding the Fourth Proportional to 49,016.25, 73,524.38 and 12,080.25

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Solution

The fourth proportional to 49,016.25, 73,524.38 and 12,080.25 is: 18,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,016.25 : 73,524.38 = 12,080.25 : x
  2. Step 2: Convert to fraction form
    49,016.25/73,524.38 = 12,080.25/x
  3. Step 3: Cross multiply
    49,016.25x = 73,524.38 × 12,080.25
  4. Step 4: Simplify right side
    49,016.25x = 888,192,891.50
  5. Step 5: Solve for x
    x = 888,192,891.50/49,016.25
  6. Step 6: Final answer
    x = 18,120.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.