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Finding the Fourth Proportional to 33,241.44, 49,870.38 and 9,867.84

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Solution

The fourth proportional to 33,241.44, 49,870.38 and 9,867.84 is: 14,804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,241.44 : 49,870.38 = 9,867.84 : x
  2. Step 2: Convert to fraction form
    33,241.44/49,870.38 = 9,867.84/x
  3. Step 3: Cross multiply
    33,241.44x = 49,870.38 × 9,867.84
  4. Step 4: Simplify right side
    33,241.44x = 492,112,930.58
  5. Step 5: Solve for x
    x = 492,112,930.58/33,241.44
  6. Step 6: Final answer
    x = 14,804.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.