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Finding the Fourth Proportional to 31,550.82, 43,538.84 and 17,403.66

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Solution

The fourth proportional to 31,550.82, 43,538.84 and 17,403.66 is: 24,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550.82 : 43,538.84 = 17,403.66 : x
  2. Step 2: Convert to fraction form
    31,550.82/43,538.84 = 17,403.66/x
  3. Step 3: Cross multiply
    31,550.82x = 43,538.84 × 17,403.66
  4. Step 4: Simplify right side
    31,550.82x = 757,735,195.35
  5. Step 5: Solve for x
    x = 757,735,195.35/31,550.82
  6. Step 6: Final answer
    x = 24,016.34

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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.