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Finding the Fourth Proportional to 78,067, 117,103.74 and 22,663

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Solution

The fourth proportional to 78,067, 117,103.74 and 22,663 is: 33,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067 : 117,103.74 = 22,663 : x
  2. Step 2: Convert to fraction form
    78,067/117,103.74 = 22,663/x
  3. Step 3: Cross multiply
    78,067x = 117,103.74 × 22,663
  4. Step 4: Simplify right side
    78,067x = 2,653,922,059.62
  5. Step 5: Solve for x
    x = 2,653,922,059.62/78,067
  6. Step 6: Final answer
    x = 33,995.44

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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.