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Finding the Fourth Proportional to 35,843.72, 53,608.23 and 31,922.51

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Solution

The fourth proportional to 35,843.72, 53,608.23 and 31,922.51 is: 47,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.72 : 53,608.23 = 31,922.51 : x
  2. Step 2: Convert to fraction form
    35,843.72/53,608.23 = 31,922.51/x
  3. Step 3: Cross multiply
    35,843.72x = 53,608.23 × 31,922.51
  4. Step 4: Simplify right side
    35,843.72x = 1,711,308,990.22
  5. Step 5: Solve for x
    x = 1,711,308,990.22/35,843.72
  6. Step 6: Final answer
    x = 47,743.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.