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Finding the Fourth Proportional to 76,939.24, 115,611.82 and 41,426.82

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Solution

The fourth proportional to 76,939.24, 115,611.82 and 41,426.82 is: 62,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,939.24 : 115,611.82 = 41,426.82 : x
  2. Step 2: Convert to fraction form
    76,939.24/115,611.82 = 41,426.82/x
  3. Step 3: Cross multiply
    76,939.24x = 115,611.82 × 41,426.82
  4. Step 4: Simplify right side
    76,939.24x = 4,789,429,375.39
  5. Step 5: Solve for x
    x = 4,789,429,375.39/76,939.24
  6. Step 6: Final answer
    x = 62,249.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.