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Finding the Fourth Proportional to 69,728.14, 96,232.98 and 41,433.82

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Solution

The fourth proportional to 69,728.14, 96,232.98 and 41,433.82 is: 57,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,728.14 : 96,232.98 = 41,433.82 : x
  2. Step 2: Convert to fraction form
    69,728.14/96,232.98 = 41,433.82/x
  3. Step 3: Cross multiply
    69,728.14x = 96,232.98 × 41,433.82
  4. Step 4: Simplify right side
    69,728.14x = 3,987,299,971.38
  5. Step 5: Solve for x
    x = 3,987,299,971.38/69,728.14
  6. Step 6: Final answer
    x = 57,183.51

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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.