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Finding the Fourth Proportional to 73,149.75, 109,724.67 and 17,745.75

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Solution

The fourth proportional to 73,149.75, 109,724.67 and 17,745.75 is: 26,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,149.75 : 109,724.67 = 17,745.75 : x
  2. Step 2: Convert to fraction form
    73,149.75/109,724.67 = 17,745.75/x
  3. Step 3: Cross multiply
    73,149.75x = 109,724.67 × 17,745.75
  4. Step 4: Simplify right side
    73,149.75x = 1,947,146,562.65
  5. Step 5: Solve for x
    x = 1,947,146,562.65/73,149.75
  6. Step 6: Final answer
    x = 26,618.64

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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.