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Finding the Fourth Proportional to 33,164.40, 49,741.65 and 12,099.50

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Solution

The fourth proportional to 33,164.40, 49,741.65 and 12,099.50 is: 18,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.40 : 49,741.65 = 12,099.50 : x
  2. Step 2: Convert to fraction form
    33,164.40/49,741.65 = 12,099.50/x
  3. Step 3: Cross multiply
    33,164.40x = 49,741.65 × 12,099.50
  4. Step 4: Simplify right side
    33,164.40x = 601,848,845.47
  5. Step 5: Solve for x
    x = 601,848,845.47/33,164.40
  6. Step 6: Final answer
    x = 18,147.44

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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.