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Finding the Fourth Proportional to 73,286.16, 109,920.60 and 32,764.56

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Solution

The fourth proportional to 73,286.16, 109,920.60 and 32,764.56 is: 49,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,286.16 : 109,920.60 = 32,764.56 : x
  2. Step 2: Convert to fraction form
    73,286.16/109,920.60 = 32,764.56/x
  3. Step 3: Cross multiply
    73,286.16x = 109,920.60 × 32,764.56
  4. Step 4: Simplify right side
    73,286.16x = 3,601,500,093.94
  5. Step 5: Solve for x
    x = 3,601,500,093.94/73,286.16
  6. Step 6: Final answer
    x = 49,142.98

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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.