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Finding the Fourth Proportional to 75,791.84, 113,936.83 and 70,311.27

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Solution

The fourth proportional to 75,791.84, 113,936.83 and 70,311.27 is: 105,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,791.84 : 113,936.83 = 70,311.27 : x
  2. Step 2: Convert to fraction form
    75,791.84/113,936.83 = 70,311.27/x
  3. Step 3: Cross multiply
    75,791.84x = 113,936.83 × 70,311.27
  4. Step 4: Simplify right side
    75,791.84x = 8,011,043,468.56
  5. Step 5: Solve for x
    x = 8,011,043,468.56/75,791.84
  6. Step 6: Final answer
    x = 105,697.97

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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.