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Finding the Fourth Proportional to 76,040.82, 104,936.90 and 41,585.78

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Solution

The fourth proportional to 76,040.82, 104,936.90 and 41,585.78 is: 57,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,040.82 : 104,936.90 = 41,585.78 : x
  2. Step 2: Convert to fraction form
    76,040.82/104,936.90 = 41,585.78/x
  3. Step 3: Cross multiply
    76,040.82x = 104,936.90 × 41,585.78
  4. Step 4: Simplify right side
    76,040.82x = 4,363,882,891.70
  5. Step 5: Solve for x
    x = 4,363,882,891.70/76,040.82
  6. Step 6: Final answer
    x = 57,388.69

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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.