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Finding the Fourth Proportional to 33,071.98, 49,597.44 and 10,880.17

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Solution

The fourth proportional to 33,071.98, 49,597.44 and 10,880.17 is: 16,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,071.98 : 49,597.44 = 10,880.17 : x
  2. Step 2: Convert to fraction form
    33,071.98/49,597.44 = 10,880.17/x
  3. Step 3: Cross multiply
    33,071.98x = 49,597.44 × 10,880.17
  4. Step 4: Simplify right side
    33,071.98x = 539,628,578.76
  5. Step 5: Solve for x
    x = 539,628,578.76/33,071.98
  6. Step 6: Final answer
    x = 16,316.79

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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.