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Finding the Fourth Proportional to 33,830.28, 50,745.99 and 10,456.50

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Solution

The fourth proportional to 33,830.28, 50,745.99 and 10,456.50 is: 15,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.28 : 50,745.99 = 10,456.50 : x
  2. Step 2: Convert to fraction form
    33,830.28/50,745.99 = 10,456.50/x
  3. Step 3: Cross multiply
    33,830.28x = 50,745.99 × 10,456.50
  4. Step 4: Simplify right side
    33,830.28x = 530,625,444.44
  5. Step 5: Solve for x
    x = 530,625,444.44/33,830.28
  6. Step 6: Final answer
    x = 15,684.93

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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.