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Finding the Fourth Proportional to 76,334.88, 114,377.82 and 38,843.40

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Solution

The fourth proportional to 76,334.88, 114,377.82 and 38,843.40 is: 58,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,334.88 : 114,377.82 = 38,843.40 : x
  2. Step 2: Convert to fraction form
    76,334.88/114,377.82 = 38,843.40/x
  3. Step 3: Cross multiply
    76,334.88x = 114,377.82 × 38,843.40
  4. Step 4: Simplify right side
    76,334.88x = 4,442,823,413.39
  5. Step 5: Solve for x
    x = 4,442,823,413.39/76,334.88
  6. Step 6: Final answer
    x = 58,201.75

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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.