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Algebra Level 1

There are 4 integers \(a,b,c,d\) where the first three terms \((a,b,c)\) form an Arithmetic Progression while the last three terms \((b,c,d)\) form a Geometric Progression. Given that the sum of the first and the last term \((a+d)\) is \(37\) and the sum of the second and third term \((b+c)\) is \(36\). Find the sum of these 4 integers \(a,b,c,d\).

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