Explain the sequence of events that led to Dixit's travel plans to Shirdi being finalized.

Chapter 51 outlines a remarkable chain of events that facilitated Dixit's journey. While Dixit was in Nagar feeling restless and anxious to see Baba, a plan was unfolding elsewhere. Madhavrao Deshpande received a seemingly urgent telegram about his mother-in-law's health, prompting him to travel to Nagar. Upon his arrival, just as he stepped out of his carriage, he was fortuitously seen by Nanasahib Panshe and Appasahib Gadre. Recognizing him as Shirdi's priest, they immediately informed him about Dixit's desire and directed him to Mirikar's house. This led to the first meeting between Dixit and Madhavrao, where they promptly decided to travel together on the ten o'clock night train to Shirdi, resolving Dixit's worries.