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Finding the Fourth Proportional to 80,651.48, 120,964.26 and 25,247.48

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Solution

The fourth proportional to 80,651.48, 120,964.26 and 25,247.48 is: 37,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,651.48 : 120,964.26 = 25,247.48 : x
  2. Step 2: Convert to fraction form
    80,651.48/120,964.26 = 25,247.48/x
  3. Step 3: Cross multiply
    80,651.48x = 120,964.26 × 25,247.48
  4. Step 4: Simplify right side
    80,651.48x = 3,054,042,735.06
  5. Step 5: Solve for x
    x = 3,054,042,735.06/80,651.48
  6. Step 6: Final answer
    x = 37,867.16

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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.