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Finding the Fourth Proportional to 77,105.49, 115,507.85 and 50,730.27

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Solution

The fourth proportional to 77,105.49, 115,507.85 and 50,730.27 is: 75,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105.49 : 115,507.85 = 50,730.27 : x
  2. Step 2: Convert to fraction form
    77,105.49/115,507.85 = 50,730.27/x
  3. Step 3: Cross multiply
    77,105.49x = 115,507.85 × 50,730.27
  4. Step 4: Simplify right side
    77,105.49x = 5,859,744,163.97
  5. Step 5: Solve for x
    x = 5,859,744,163.97/77,105.49
  6. Step 6: Final answer
    x = 75,996.46

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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.