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In the ledger maintenance screen there's a column titled "balance type" that defines the balance type. There's an additional column titled "balancing required" that sets whether entries need to be balanced. Traditionally a statistical ledger would not be balanced as that would require offsetting entries for a statistical measure. You can double check the setup and whether or not balancing is required for the ledger in question in the ledger maintenance screen.
In terms of tracking acreage the inventory module would likely be better suited for the task than statistical ledgers and would be where I would start thinking about establishing those balances. It would allow for quantity and costing tracking in a more streamlined manner than booking statistical ledger entries would.