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Finding the Fourth Proportional to 77,003, 115,550.58 and 33,227

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Solution

The fourth proportional to 77,003, 115,550.58 and 33,227 is: 49,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,003 : 115,550.58 = 33,227 : x
  2. Step 2: Convert to fraction form
    77,003/115,550.58 = 33,227/x
  3. Step 3: Cross multiply
    77,003x = 115,550.58 × 33,227
  4. Step 4: Simplify right side
    77,003x = 3,839,399,121.66
  5. Step 5: Solve for x
    x = 3,839,399,121.66/77,003
  6. Step 6: Final answer
    x = 49,860.38

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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.