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Finding the Fourth Proportional to 33,531.87, 50,305.59 and 9,838.46

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Solution

The fourth proportional to 33,531.87, 50,305.59 and 9,838.46 is: 14,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531.87 : 50,305.59 = 9,838.46 : x
  2. Step 2: Convert to fraction form
    33,531.87/50,305.59 = 9,838.46/x
  3. Step 3: Cross multiply
    33,531.87x = 50,305.59 × 9,838.46
  4. Step 4: Simplify right side
    33,531.87x = 494,929,283.46
  5. Step 5: Solve for x
    x = 494,929,283.46/33,531.87
  6. Step 6: Final answer
    x = 14,759.97

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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.