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Finding the Fourth Proportional to 76,083.12, 104,997.84 and 42,091.05

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Solution

The fourth proportional to 76,083.12, 104,997.84 and 42,091.05 is: 58,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,083.12 : 104,997.84 = 42,091.05 : x
  2. Step 2: Convert to fraction form
    76,083.12/104,997.84 = 42,091.05/x
  3. Step 3: Cross multiply
    76,083.12x = 104,997.84 × 42,091.05
  4. Step 4: Simplify right side
    76,083.12x = 4,419,469,333.33
  5. Step 5: Solve for x
    x = 4,419,469,333.33/76,083.12
  6. Step 6: Final answer
    x = 58,087.38

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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.