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Finding the Fourth Proportional to 41,077, 56,692.10 and 23,173.66

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Solution

The fourth proportional to 41,077, 56,692.10 and 23,173.66 is: 31,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,077 : 56,692.10 = 23,173.66 : x
  2. Step 2: Convert to fraction form
    41,077/56,692.10 = 23,173.66/x
  3. Step 3: Cross multiply
    41,077x = 56,692.10 × 23,173.66
  4. Step 4: Simplify right side
    41,077x = 1,313,763,450.09
  5. Step 5: Solve for x
    x = 1,313,763,450.09/41,077
  6. Step 6: Final answer
    x = 31,982.95

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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.