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Finding the Fourth Proportional to 36,009, 49,692.24 and 20,092.50

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Solution

The fourth proportional to 36,009, 49,692.24 and 20,092.50 is: 27,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009 : 49,692.24 = 20,092.50 : x
  2. Step 2: Convert to fraction form
    36,009/49,692.24 = 20,092.50/x
  3. Step 3: Cross multiply
    36,009x = 49,692.24 × 20,092.50
  4. Step 4: Simplify right side
    36,009x = 998,441,332.20
  5. Step 5: Solve for x
    x = 998,441,332.20/36,009
  6. Step 6: Final answer
    x = 27,727.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.