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Finding the Fourth Proportional to 33,498.14, 50,244.46 and 9,803.82

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Solution

The fourth proportional to 33,498.14, 50,244.46 and 9,803.82 is: 14,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498.14 : 50,244.46 = 9,803.82 : x
  2. Step 2: Convert to fraction form
    33,498.14/50,244.46 = 9,803.82/x
  3. Step 3: Cross multiply
    33,498.14x = 50,244.46 × 9,803.82
  4. Step 4: Simplify right side
    33,498.14x = 492,587,641.84
  5. Step 5: Solve for x
    x = 492,587,641.84/33,498.14
  6. Step 6: Final answer
    x = 14,704.93

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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.