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Finding the Fourth Proportional to 80,082.09, 120,134.16 and 27,484.74

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Solution

The fourth proportional to 80,082.09, 120,134.16 and 27,484.74 is: 41,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,082.09 : 120,134.16 = 27,484.74 : x
  2. Step 2: Convert to fraction form
    80,082.09/120,134.16 = 27,484.74/x
  3. Step 3: Cross multiply
    80,082.09x = 120,134.16 × 27,484.74
  4. Step 4: Simplify right side
    80,082.09x = 3,301,856,152.72
  5. Step 5: Solve for x
    x = 3,301,856,152.72/80,082.09
  6. Step 6: Final answer
    x = 41,230.89

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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.