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Finding the Fourth Proportional to 69,833.89, 96,381.14 and 41,144.38

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Solution

The fourth proportional to 69,833.89, 96,381.14 and 41,144.38 is: 56,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833.89 : 96,381.14 = 41,144.38 : x
  2. Step 2: Convert to fraction form
    69,833.89/96,381.14 = 41,144.38/x
  3. Step 3: Cross multiply
    69,833.89x = 96,381.14 × 41,144.38
  4. Step 4: Simplify right side
    69,833.89x = 3,965,542,110.90
  5. Step 5: Solve for x
    x = 3,965,542,110.90/69,833.89
  6. Step 6: Final answer
    x = 56,785.36

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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.