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Finding the Fourth Proportional to 73,012.82, 100,757.73 and 39,478.82

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Solution

The fourth proportional to 73,012.82, 100,757.73 and 39,478.82 is: 54,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,012.82 : 100,757.73 = 39,478.82 : x
  2. Step 2: Convert to fraction form
    73,012.82/100,757.73 = 39,478.82/x
  3. Step 3: Cross multiply
    73,012.82x = 100,757.73 × 39,478.82
  4. Step 4: Simplify right side
    73,012.82x = 3,977,796,286.28
  5. Step 5: Solve for x
    x = 3,977,796,286.28/73,012.82
  6. Step 6: Final answer
    x = 54,480.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.