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Finding the Fourth Proportional to 47,692.80, 71,383.68 and 33,644.16

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Solution

The fourth proportional to 47,692.80, 71,383.68 and 33,644.16 is: 50,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.80 : 71,383.68 = 33,644.16 : x
  2. Step 2: Convert to fraction form
    47,692.80/71,383.68 = 33,644.16/x
  3. Step 3: Cross multiply
    47,692.80x = 71,383.68 × 33,644.16
  4. Step 4: Simplify right side
    47,692.80x = 2,401,643,951.31
  5. Step 5: Solve for x
    x = 2,401,643,951.31/47,692.80
  6. Step 6: Final answer
    x = 50,356.53

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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.