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Finding the Fourth Proportional to 29,082.32, 43,622.56 and 8,305.80

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Solution

The fourth proportional to 29,082.32, 43,622.56 and 8,305.80 is: 12,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082.32 : 43,622.56 = 8,305.80 : x
  2. Step 2: Convert to fraction form
    29,082.32/43,622.56 = 8,305.80/x
  3. Step 3: Cross multiply
    29,082.32x = 43,622.56 × 8,305.80
  4. Step 4: Simplify right side
    29,082.32x = 362,320,258.85
  5. Step 5: Solve for x
    x = 362,320,258.85/29,082.32
  6. Step 6: Final answer
    x = 12,458.44

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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.