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Finding the Fourth Proportional to 73,298.56, 109,860.36 and 40,027

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Solution

The fourth proportional to 73,298.56, 109,860.36 and 40,027 is: 59,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,298.56 : 109,860.36 = 40,027 : x
  2. Step 2: Convert to fraction form
    73,298.56/109,860.36 = 40,027/x
  3. Step 3: Cross multiply
    73,298.56x = 109,860.36 × 40,027
  4. Step 4: Simplify right side
    73,298.56x = 4,397,380,629.72
  5. Step 5: Solve for x
    x = 4,397,380,629.72/73,298.56
  6. Step 6: Final answer
    x = 59,992.73

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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.