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Finding the Fourth Proportional to 75,997.50, 113,997.87 and 26,077.38

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Solution

The fourth proportional to 75,997.50, 113,997.87 and 26,077.38 is: 39,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997.50 : 113,997.87 = 26,077.38 : x
  2. Step 2: Convert to fraction form
    75,997.50/113,997.87 = 26,077.38/x
  3. Step 3: Cross multiply
    75,997.50x = 113,997.87 × 26,077.38
  4. Step 4: Simplify right side
    75,997.50x = 2,972,765,775.18
  5. Step 5: Solve for x
    x = 2,972,765,775.18/75,997.50
  6. Step 6: Final answer
    x = 39,116.63

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