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Finding the Fourth Proportional to 69,695.82, 96,179.97 and 37,864.44

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Solution

The fourth proportional to 69,695.82, 96,179.97 and 37,864.44 is: 52,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,695.82 : 96,179.97 = 37,864.44 : x
  2. Step 2: Convert to fraction form
    69,695.82/96,179.97 = 37,864.44/x
  3. Step 3: Cross multiply
    69,695.82x = 96,179.97 × 37,864.44
  4. Step 4: Simplify right side
    69,695.82x = 3,641,800,222.37
  5. Step 5: Solve for x
    x = 3,641,800,222.37/69,695.82
  6. Step 6: Final answer
    x = 52,252.78

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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.