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Question 1085  inflation, consumer price index, price gains and returns over time, arithmetic and geometric averages

Calculate the annual inflation rate between 30th September 1948 when the consumer price index (CPI) was 3.7 and 31st December 2023 when the CPI was 136.1, as published by the ABS. Note that you should find the annual CPI inflation rate between these dates.
The annual inflation rate over these 75.25 (=2024 - 1948.75) years was: