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Finding the Fourth Proportional to 31,817.50, 43,908.15 and 18,569.50

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Solution

The fourth proportional to 31,817.50, 43,908.15 and 18,569.50 is: 25,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.50 : 43,908.15 = 18,569.50 : x
  2. Step 2: Convert to fraction form
    31,817.50/43,908.15 = 18,569.50/x
  3. Step 3: Cross multiply
    31,817.50x = 43,908.15 × 18,569.50
  4. Step 4: Simplify right side
    31,817.50x = 815,352,391.43
  5. Step 5: Solve for x
    x = 815,352,391.43/31,817.50
  6. Step 6: Final answer
    x = 25,625.91

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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.