How did Madhavrao Deshpande's unexpected arrival in Nagar facilitate Dixit's journey to Shirdi?

As recounted in Chapter 51, Madhavrao Deshpande's presence in Nagar was a divine coincidence orchestrated to help Dixit. Madhavrao was summoned to Nagar by a telegram claiming his mother-in-law was gravely ill. Upon arrival, he discovered she was perfectly fine. It was at this moment that Nanasahib Panshe and Appasahib Gadre spotted him. Knowing Dixit was desperate to travel to Shirdi, they recognized Madhavrao, the "priest of Shirdi," as the perfect companion. They directed him to Mirikar's house to meet Dixit, thus resolving Dixit's travel predicament and filling him with satisfaction, showcasing how Baba's plan unfolded.