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Finding the Fourth Proportional to 31,839.88, 43,940.10 and 17,693.32

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Solution

The fourth proportional to 31,839.88, 43,940.10 and 17,693.32 is: 24,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.88 : 43,940.10 = 17,693.32 : x
  2. Step 2: Convert to fraction form
    31,839.88/43,940.10 = 17,693.32/x
  3. Step 3: Cross multiply
    31,839.88x = 43,940.10 × 17,693.32
  4. Step 4: Simplify right side
    31,839.88x = 777,446,250.13
  5. Step 5: Solve for x
    x = 777,446,250.13/31,839.88
  6. Step 6: Final answer
    x = 24,417.37

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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.