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Finding the Fourth Proportional to 73,198.24, 109,797.60 and 17,794.24

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Solution

The fourth proportional to 73,198.24, 109,797.60 and 17,794.24 is: 26,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,198.24 : 109,797.60 = 17,794.24 : x
  2. Step 2: Convert to fraction form
    73,198.24/109,797.60 = 17,794.24/x
  3. Step 3: Cross multiply
    73,198.24x = 109,797.60 × 17,794.24
  4. Step 4: Simplify right side
    73,198.24x = 1,953,764,845.82
  5. Step 5: Solve for x
    x = 1,953,764,845.82/73,198.24
  6. Step 6: Final answer
    x = 26,691.42

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1.5x scale

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.