Write SQL query to solve given problem: Calculate the total beat of the crimes reported in a community area in the central side with population of 50,000 and above.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT 1.0 * SUM(CASE WHEN T1.population > 50000 THEN T2.beat ELSE 0 END) AS sum FROM Community_Area AS T1 INNER JOIN Crime AS T2 ON T2.community_area_no = T1.community_area_no WHERE T1.side = 'Central'