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Finding the Fourth Proportional to 31,693.82, 43,737.44 and 17,546.63

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Solution

The fourth proportional to 31,693.82, 43,737.44 and 17,546.63 is: 24,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.82 : 43,737.44 = 17,546.63 : x
  2. Step 2: Convert to fraction form
    31,693.82/43,737.44 = 17,546.63/x
  3. Step 3: Cross multiply
    31,693.82x = 43,737.44 × 17,546.63
  4. Step 4: Simplify right side
    31,693.82x = 767,444,370.41
  5. Step 5: Solve for x
    x = 767,444,370.41/31,693.82
  6. Step 6: Final answer
    x = 24,214.33

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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.