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Finding the Fourth Proportional to 80,053.34, 120,082.44 and 27,462.06

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Solution

The fourth proportional to 80,053.34, 120,082.44 and 27,462.06 is: 41,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,053.34 : 120,082.44 = 27,462.06 : x
  2. Step 2: Convert to fraction form
    80,053.34/120,082.44 = 27,462.06/x
  3. Step 3: Cross multiply
    80,053.34x = 120,082.44 × 27,462.06
  4. Step 4: Simplify right side
    80,053.34x = 3,297,711,172.23
  5. Step 5: Solve for x
    x = 3,297,711,172.23/80,053.34
  6. Step 6: Final answer
    x = 41,193.92

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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.