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Finding the Fourth Proportional to 115,105.69, 172,642.13 and 36,217.87

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Solution

The fourth proportional to 115,105.69, 172,642.13 and 36,217.87 is: 54,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,105.69 : 172,642.13 = 36,217.87 : x
  2. Step 2: Convert to fraction form
    115,105.69/172,642.13 = 36,217.87/x
  3. Step 3: Cross multiply
    115,105.69x = 172,642.13 × 36,217.87
  4. Step 4: Simplify right side
    115,105.69x = 6,252,729,357.65
  5. Step 5: Solve for x
    x = 6,252,729,357.65/115,105.69
  6. Step 6: Final answer
    x = 54,321.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.