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Finding the Fourth Proportional to 80,464.50, 120,716.25 and 25,060.50

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Solution

The fourth proportional to 80,464.50, 120,716.25 and 25,060.50 is: 37,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464.50 : 120,716.25 = 25,060.50 : x
  2. Step 2: Convert to fraction form
    80,464.50/120,716.25 = 25,060.50/x
  3. Step 3: Cross multiply
    80,464.50x = 120,716.25 × 25,060.50
  4. Step 4: Simplify right side
    80,464.50x = 3,025,209,583.13
  5. Step 5: Solve for x
    x = 3,025,209,583.13/80,464.50
  6. Step 6: Final answer
    x = 37,596.82

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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.