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Finding the Fourth Proportional to 31,911.60, 47,955.24 and 17,131.44

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Solution

The fourth proportional to 31,911.60, 47,955.24 and 17,131.44 is: 25,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.60 : 47,955.24 = 17,131.44 : x
  2. Step 2: Convert to fraction form
    31,911.60/47,955.24 = 17,131.44/x
  3. Step 3: Cross multiply
    31,911.60x = 47,955.24 × 17,131.44
  4. Step 4: Simplify right side
    31,911.60x = 821,542,316.75
  5. Step 5: Solve for x
    x = 821,542,316.75/31,911.60
  6. Step 6: Final answer
    x = 25,744.32

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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.