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Finding the Fourth Proportional to 36,692.64, 50,619.60 and 21,780

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Solution

The fourth proportional to 36,692.64, 50,619.60 and 21,780 is: 30,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,692.64 : 50,619.60 = 21,780 : x
  2. Step 2: Convert to fraction form
    36,692.64/50,619.60 = 21,780/x
  3. Step 3: Cross multiply
    36,692.64x = 50,619.60 × 21,780
  4. Step 4: Simplify right side
    36,692.64x = 1,102,494,888
  5. Step 5: Solve for x
    x = 1,102,494,888/36,692.64
  6. Step 6: Final answer
    x = 30,046.76

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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.