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Finding the Fourth Proportional to 69,745.48, 96,249.38 and 37,914.43

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Solution

The fourth proportional to 69,745.48, 96,249.38 and 37,914.43 is: 52,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,745.48 : 96,249.38 = 37,914.43 : x
  2. Step 2: Convert to fraction form
    69,745.48/96,249.38 = 37,914.43/x
  3. Step 3: Cross multiply
    69,745.48x = 96,249.38 × 37,914.43
  4. Step 4: Simplify right side
    69,745.48x = 3,649,239,709.73
  5. Step 5: Solve for x
    x = 3,649,239,709.73/69,745.48
  6. Step 6: Final answer
    x = 52,322.24

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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.