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Finding the Fourth Proportional to 127,183.25, 190,778.52 and 33,689

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Solution

The fourth proportional to 127,183.25, 190,778.52 and 33,689 is: 50,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,183.25 : 190,778.52 = 33,689 : x
  2. Step 2: Convert to fraction form
    127,183.25/190,778.52 = 33,689/x
  3. Step 3: Cross multiply
    127,183.25x = 190,778.52 × 33,689
  4. Step 4: Simplify right side
    127,183.25x = 6,427,137,560.28
  5. Step 5: Solve for x
    x = 6,427,137,560.28/127,183.25
  6. Step 6: Final answer
    x = 50,534.47

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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.