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Finding the Fourth Proportional to 31,693.52, 43,738.49 and 17,546.36

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Solution

The fourth proportional to 31,693.52, 43,738.49 and 17,546.36 is: 24,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.52 : 43,738.49 = 17,546.36 : x
  2. Step 2: Convert to fraction form
    31,693.52/43,738.49 = 17,546.36/x
  3. Step 3: Cross multiply
    31,693.52x = 43,738.49 × 17,546.36
  4. Step 4: Simplify right side
    31,693.52x = 767,451,291.40
  5. Step 5: Solve for x
    x = 767,451,291.40/31,693.52
  6. Step 6: Final answer
    x = 24,214.77

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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.