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Finding the Fourth Proportional to 69,843.45, 96,380.97 and 38,012.28

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Solution

The fourth proportional to 69,843.45, 96,380.97 and 38,012.28 is: 52,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.45 : 96,380.97 = 38,012.28 : x
  2. Step 2: Convert to fraction form
    69,843.45/96,380.97 = 38,012.28/x
  3. Step 3: Cross multiply
    69,843.45x = 96,380.97 × 38,012.28
  4. Step 4: Simplify right side
    69,843.45x = 3,663,660,418.31
  5. Step 5: Solve for x
    x = 3,663,660,418.31/69,843.45
  6. Step 6: Final answer
    x = 52,455.32

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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.