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Finding the Fourth Proportional to 31,311.60, 43,209.78 and 17,164.20

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Solution

The fourth proportional to 31,311.60, 43,209.78 and 17,164.20 is: 23,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.60 : 43,209.78 = 17,164.20 : x
  2. Step 2: Convert to fraction form
    31,311.60/43,209.78 = 17,164.20/x
  3. Step 3: Cross multiply
    31,311.60x = 43,209.78 × 17,164.20
  4. Step 4: Simplify right side
    31,311.60x = 741,661,305.88
  5. Step 5: Solve for x
    x = 741,661,305.88/31,311.60
  6. Step 6: Final answer
    x = 23,686.47

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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.