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Finding the Fourth Proportional to 18,082.67, 27,123.84 and 4,935.02

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Solution

The fourth proportional to 18,082.67, 27,123.84 and 4,935.02 is: 7,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.67 : 27,123.84 = 4,935.02 : x
  2. Step 2: Convert to fraction form
    18,082.67/27,123.84 = 4,935.02/x
  3. Step 3: Cross multiply
    18,082.67x = 27,123.84 × 4,935.02
  4. Step 4: Simplify right side
    18,082.67x = 133,856,557.26
  5. Step 5: Solve for x
    x = 133,856,557.26/18,082.67
  6. Step 6: Final answer
    x = 7,402.48

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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.