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Finding the Fourth Proportional to 33,052.10, 49,578.17 and 9,678.56

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Solution

The fourth proportional to 33,052.10, 49,578.17 and 9,678.56 is: 14,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052.10 : 49,578.17 = 9,678.56 : x
  2. Step 2: Convert to fraction form
    33,052.10/49,578.17 = 9,678.56/x
  3. Step 3: Cross multiply
    33,052.10x = 49,578.17 × 9,678.56
  4. Step 4: Simplify right side
    33,052.10x = 479,844,996.75
  5. Step 5: Solve for x
    x = 479,844,996.75/33,052.10
  6. Step 6: Final answer
    x = 14,517.84

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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.