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Finding the Fourth Proportional to 69,696.26, 96,194.84 and 41,396.48

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Solution

The fourth proportional to 69,696.26, 96,194.84 and 41,396.48 is: 57,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,696.26 : 96,194.84 = 41,396.48 : x
  2. Step 2: Convert to fraction form
    69,696.26/96,194.84 = 41,396.48/x
  3. Step 3: Cross multiply
    69,696.26x = 96,194.84 × 41,396.48
  4. Step 4: Simplify right side
    69,696.26x = 3,982,127,770.16
  5. Step 5: Solve for x
    x = 3,982,127,770.16/69,696.26
  6. Step 6: Final answer
    x = 57,135.46

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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.