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Finding the Fourth Proportional to 71,174.30, 106,794.66 and 31,727.30

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Solution

The fourth proportional to 71,174.30, 106,794.66 and 31,727.30 is: 47,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174.30 : 106,794.66 = 31,727.30 : x
  2. Step 2: Convert to fraction form
    71,174.30/106,794.66 = 31,727.30/x
  3. Step 3: Cross multiply
    71,174.30x = 106,794.66 × 31,727.30
  4. Step 4: Simplify right side
    71,174.30x = 3,388,306,216.22
  5. Step 5: Solve for x
    x = 3,388,306,216.22/71,174.30
  6. Step 6: Final answer
    x = 47,605.75

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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.