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Finding the Fourth Proportional to 31,504.99, 43,476.75 and 17,164.77

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Solution

The fourth proportional to 31,504.99, 43,476.75 and 17,164.77 is: 23,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.99 : 43,476.75 = 17,164.77 : x
  2. Step 2: Convert to fraction form
    31,504.99/43,476.75 = 17,164.77/x
  3. Step 3: Cross multiply
    31,504.99x = 43,476.75 × 17,164.77
  4. Step 4: Simplify right side
    31,504.99x = 746,268,414.10
  5. Step 5: Solve for x
    x = 746,268,414.10/31,504.99
  6. Step 6: Final answer
    x = 23,687.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.