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Finding the Fourth Proportional to 33,805.50, 50,731.29 and 11,917.50

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Solution

The fourth proportional to 33,805.50, 50,731.29 and 11,917.50 is: 17,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805.50 : 50,731.29 = 11,917.50 : x
  2. Step 2: Convert to fraction form
    33,805.50/50,731.29 = 11,917.50/x
  3. Step 3: Cross multiply
    33,805.50x = 50,731.29 × 11,917.50
  4. Step 4: Simplify right side
    33,805.50x = 604,590,148.58
  5. Step 5: Solve for x
    x = 604,590,148.58/33,805.50
  6. Step 6: Final answer
    x = 17,884.37

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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.