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Finding the Fourth Proportional to 33,067, 45,632.46 and 18,163

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Solution

The fourth proportional to 33,067, 45,632.46 and 18,163 is: 25,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,067 : 45,632.46 = 18,163 : x
  2. Step 2: Convert to fraction form
    33,067/45,632.46 = 18,163/x
  3. Step 3: Cross multiply
    33,067x = 45,632.46 × 18,163
  4. Step 4: Simplify right side
    33,067x = 828,822,370.98
  5. Step 5: Solve for x
    x = 828,822,370.98/33,067
  6. Step 6: Final answer
    x = 25,064.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.