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Finding the Fourth Proportional to 33,794.34, 50,692.20 and 10,420.75

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Solution

The fourth proportional to 33,794.34, 50,692.20 and 10,420.75 is: 15,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794.34 : 50,692.20 = 10,420.75 : x
  2. Step 2: Convert to fraction form
    33,794.34/50,692.20 = 10,420.75/x
  3. Step 3: Cross multiply
    33,794.34x = 50,692.20 × 10,420.75
  4. Step 4: Simplify right side
    33,794.34x = 528,250,743.15
  5. Step 5: Solve for x
    x = 528,250,743.15/33,794.34
  6. Step 6: Final answer
    x = 15,631.34

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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.