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Finding the Fourth Proportional to 33,824.37, 50,736.02 and 11,637.93

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Solution

The fourth proportional to 33,824.37, 50,736.02 and 11,637.93 is: 17,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.37 : 50,736.02 = 11,637.93 : x
  2. Step 2: Convert to fraction form
    33,824.37/50,736.02 = 11,637.93/x
  3. Step 3: Cross multiply
    33,824.37x = 50,736.02 × 11,637.93
  4. Step 4: Simplify right side
    33,824.37x = 590,462,191.05
  5. Step 5: Solve for x
    x = 590,462,191.05/33,824.37
  6. Step 6: Final answer
    x = 17,456.71

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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.