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Finding the Fourth Proportional to 33,277.50, 49,919.49 and 8,653.50

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Solution

The fourth proportional to 33,277.50, 49,919.49 and 8,653.50 is: 12,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.50 : 49,919.49 = 8,653.50 : x
  2. Step 2: Convert to fraction form
    33,277.50/49,919.49 = 8,653.50/x
  3. Step 3: Cross multiply
    33,277.50x = 49,919.49 × 8,653.50
  4. Step 4: Simplify right side
    33,277.50x = 431,978,306.72
  5. Step 5: Solve for x
    x = 431,978,306.72/33,277.50
  6. Step 6: Final answer
    x = 12,981.09

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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.