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Finding the Fourth Proportional to 33,991.94, 50,981.09 and 11,806.31

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Solution

The fourth proportional to 33,991.94, 50,981.09 and 11,806.31 is: 17,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991.94 : 50,981.09 = 11,806.31 : x
  2. Step 2: Convert to fraction form
    33,991.94/50,981.09 = 11,806.31/x
  3. Step 3: Cross multiply
    33,991.94x = 50,981.09 × 11,806.31
  4. Step 4: Simplify right side
    33,991.94x = 601,898,238.74
  5. Step 5: Solve for x
    x = 601,898,238.74/33,991.94
  6. Step 6: Final answer
    x = 17,707.09

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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.