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Finding the Fourth Proportional to 33,074.30, 49,618.28 and 10,889

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Solution

The fourth proportional to 33,074.30, 49,618.28 and 10,889 is: 16,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.30 : 49,618.28 = 10,889 : x
  2. Step 2: Convert to fraction form
    33,074.30/49,618.28 = 10,889/x
  3. Step 3: Cross multiply
    33,074.30x = 49,618.28 × 10,889
  4. Step 4: Simplify right side
    33,074.30x = 540,293,450.92
  5. Step 5: Solve for x
    x = 540,293,450.92/33,074.30
  6. Step 6: Final answer
    x = 16,335.75

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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.