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Finding the Fourth Proportional to 80,651.54, 120,964.35 and 25,247.54

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Solution

The fourth proportional to 80,651.54, 120,964.35 and 25,247.54 is: 37,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,651.54 : 120,964.35 = 25,247.54 : x
  2. Step 2: Convert to fraction form
    80,651.54/120,964.35 = 25,247.54/x
  3. Step 3: Cross multiply
    80,651.54x = 120,964.35 × 25,247.54
  4. Step 4: Simplify right side
    80,651.54x = 3,054,052,662.29
  5. Step 5: Solve for x
    x = 3,054,052,662.29/80,651.54
  6. Step 6: Final answer
    x = 37,867.26

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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.