Two objects are moving towards each other with velocities vec$(V{)}_1$ and vec$(V{)}_2$ on a frictionless surface. They collide completely inelastically and move together after the collision with a velocity vec$(V{)}_3$ as shown below. The magnitudes of the initial velocity of the second object and the common velocity they move with after the collision are $|vec(V{)}_2|=28,3\frac{m}{s}$ and $|vec(V{)}_3|=19,8\frac{m}{s}$ respectively. If the angles are ${}_1=47$ and ${}_2=51,$ determine the ratio of the masses is $\frac{m_1}{m_2}=k=??$ Note that masses can not be negative so the ratio must be positive. Express your answer using two decimal places.