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Finding the Fourth Proportional to 77,161.77, 115,751.97 and 27,231.66

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Solution

The fourth proportional to 77,161.77, 115,751.97 and 27,231.66 is: 40,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161.77 : 115,751.97 = 27,231.66 : x
  2. Step 2: Convert to fraction form
    77,161.77/115,751.97 = 27,231.66/x
  3. Step 3: Cross multiply
    77,161.77x = 115,751.97 × 27,231.66
  4. Step 4: Simplify right side
    77,161.77x = 3,152,118,291.37
  5. Step 5: Solve for x
    x = 3,152,118,291.37/77,161.77
  6. Step 6: Final answer
    x = 40,850.78

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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.