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Finding the Fourth Proportional to 47,772.44, 71,578.86 and 33,709.22

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Solution

The fourth proportional to 47,772.44, 71,578.86 and 33,709.22 is: 50,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772.44 : 71,578.86 = 33,709.22 : x
  2. Step 2: Convert to fraction form
    47,772.44/71,578.86 = 33,709.22/x
  3. Step 3: Cross multiply
    47,772.44x = 71,578.86 × 33,709.22
  4. Step 4: Simplify right side
    47,772.44x = 2,412,867,539.09
  5. Step 5: Solve for x
    x = 2,412,867,539.09/47,772.44
  6. Step 6: Final answer
    x = 50,507.52

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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.