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Finding the Fourth Proportional to 18,361, 27,545.82 and 6,049

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Solution

The fourth proportional to 18,361, 27,545.82 and 6,049 is: 9,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361 : 27,545.82 = 6,049 : x
  2. Step 2: Convert to fraction form
    18,361/27,545.82 = 6,049/x
  3. Step 3: Cross multiply
    18,361x = 27,545.82 × 6,049
  4. Step 4: Simplify right side
    18,361x = 166,624,665.18
  5. Step 5: Solve for x
    x = 166,624,665.18/18,361
  6. Step 6: Final answer
    x = 9,074.92

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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.