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Finding the Fourth Proportional to 120,082.08, 180,125.60 and 36,976

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Solution

The fourth proportional to 120,082.08, 180,125.60 and 36,976 is: 55,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,082.08 : 180,125.60 = 36,976 : x
  2. Step 2: Convert to fraction form
    120,082.08/180,125.60 = 36,976/x
  3. Step 3: Cross multiply
    120,082.08x = 180,125.60 × 36,976
  4. Step 4: Simplify right side
    120,082.08x = 6,660,324,185.60
  5. Step 5: Solve for x
    x = 6,660,324,185.60/120,082.08
  6. Step 6: Final answer
    x = 55,464.76

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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.