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Finding the Fourth Proportional to 31,400.87, 47,168.73 and 19,722.29

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Solution

The fourth proportional to 31,400.87, 47,168.73 and 19,722.29 is: 29,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.87 : 47,168.73 = 19,722.29 : x
  2. Step 2: Convert to fraction form
    31,400.87/47,168.73 = 19,722.29/x
  3. Step 3: Cross multiply
    31,400.87x = 47,168.73 × 19,722.29
  4. Step 4: Simplify right side
    31,400.87x = 930,275,136.15
  5. Step 5: Solve for x
    x = 930,275,136.15/31,400.87
  6. Step 6: Final answer
    x = 29,625.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.