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Finding the Fourth Proportional to 31,591.50, 43,596.36 and 17,444.22

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Solution

The fourth proportional to 31,591.50, 43,596.36 and 17,444.22 is: 24,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.50 : 43,596.36 = 17,444.22 : x
  2. Step 2: Convert to fraction form
    31,591.50/43,596.36 = 17,444.22/x
  3. Step 3: Cross multiply
    31,591.50x = 43,596.36 × 17,444.22
  4. Step 4: Simplify right side
    31,591.50x = 760,504,495.04
  5. Step 5: Solve for x
    x = 760,504,495.04/31,591.50
  6. Step 6: Final answer
    x = 24,073.07

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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.