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Finding the Fourth Proportional to 73,287.16, 109,922.10 and 32,765.56

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Solution

The fourth proportional to 73,287.16, 109,922.10 and 32,765.56 is: 49,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,287.16 : 109,922.10 = 32,765.56 : x
  2. Step 2: Convert to fraction form
    73,287.16/109,922.10 = 32,765.56/x
  3. Step 3: Cross multiply
    73,287.16x = 109,922.10 × 32,765.56
  4. Step 4: Simplify right side
    73,287.16x = 3,601,659,162.88
  5. Step 5: Solve for x
    x = 3,601,659,162.88/73,287.16
  6. Step 6: Final answer
    x = 49,144.48

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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.