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Finding the Fourth Proportional to 53,424.82, 80,067.84 and 21,797.83

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Solution

The fourth proportional to 53,424.82, 80,067.84 and 21,797.83 is: 32,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,424.82 : 80,067.84 = 21,797.83 : x
  2. Step 2: Convert to fraction form
    53,424.82/80,067.84 = 21,797.83/x
  3. Step 3: Cross multiply
    53,424.82x = 80,067.84 × 21,797.83
  4. Step 4: Simplify right side
    53,424.82x = 1,745,305,164.79
  5. Step 5: Solve for x
    x = 1,745,305,164.79/53,424.82
  6. Step 6: Final answer
    x = 32,668.43

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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.