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Finding the Fourth Proportional to 33,532.87, 50,307.09 and 9,839.46

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Solution

The fourth proportional to 33,532.87, 50,307.09 and 9,839.46 is: 14,761.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,532.87 : 50,307.09 = 9,839.46 : x
  2. Step 2: Convert to fraction form
    33,532.87/50,307.09 = 9,839.46/x
  3. Step 3: Cross multiply
    33,532.87x = 50,307.09 × 9,839.46
  4. Step 4: Simplify right side
    33,532.87x = 494,994,348.24
  5. Step 5: Solve for x
    x = 494,994,348.24/33,532.87
  6. Step 6: Final answer
    x = 14,761.47

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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.