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Finding the Fourth Proportional to 77,227.74, 115,851.15 and 27,297.54

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Solution

The fourth proportional to 77,227.74, 115,851.15 and 27,297.54 is: 40,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,227.74 : 115,851.15 = 27,297.54 : x
  2. Step 2: Convert to fraction form
    77,227.74/115,851.15 = 27,297.54/x
  3. Step 3: Cross multiply
    77,227.74x = 115,851.15 × 27,297.54
  4. Step 4: Simplify right side
    77,227.74x = 3,162,451,401.17
  5. Step 5: Solve for x
    x = 3,162,451,401.17/77,227.74
  6. Step 6: Final answer
    x = 40,949.68

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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.