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Finding the Fourth Proportional to 73,082.66, 109,640.21 and 23,165.73

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Solution

The fourth proportional to 73,082.66, 109,640.21 and 23,165.73 is: 34,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082.66 : 109,640.21 = 23,165.73 : x
  2. Step 2: Convert to fraction form
    73,082.66/109,640.21 = 23,165.73/x
  3. Step 3: Cross multiply
    73,082.66x = 109,640.21 × 23,165.73
  4. Step 4: Simplify right side
    73,082.66x = 2,539,895,386.17
  5. Step 5: Solve for x
    x = 2,539,895,386.17/73,082.66
  6. Step 6: Final answer
    x = 34,753.74

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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.