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Finding the Fourth Proportional to 55,144.94, 82,754.46 and 54,942.03

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Solution

The fourth proportional to 55,144.94, 82,754.46 and 54,942.03 is: 82,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,144.94 : 82,754.46 = 54,942.03 : x
  2. Step 2: Convert to fraction form
    55,144.94/82,754.46 = 54,942.03/x
  3. Step 3: Cross multiply
    55,144.94x = 82,754.46 × 54,942.03
  4. Step 4: Simplify right side
    55,144.94x = 4,546,698,023.95
  5. Step 5: Solve for x
    x = 4,546,698,023.95/55,144.94
  6. Step 6: Final answer
    x = 82,449.97

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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.