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Finding the Fourth Proportional to 80,082.27, 120,134.44 and 27,484.92

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Solution

The fourth proportional to 80,082.27, 120,134.44 and 27,484.92 is: 41,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,082.27 : 120,134.44 = 27,484.92 : x
  2. Step 2: Convert to fraction form
    80,082.27/120,134.44 = 27,484.92/x
  3. Step 3: Cross multiply
    80,082.27x = 120,134.44 × 27,484.92
  4. Step 4: Simplify right side
    80,082.27x = 3,301,885,507.00
  5. Step 5: Solve for x
    x = 3,301,885,507.00/80,082.27
  6. Step 6: Final answer
    x = 41,231.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.