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Finding the Fourth Proportional to 31,179.64, 43,032 and 19,850.20

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Solution

The fourth proportional to 31,179.64, 43,032 and 19,850.20 is: 27,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.64 : 43,032 = 19,850.20 : x
  2. Step 2: Convert to fraction form
    31,179.64/43,032 = 19,850.20/x
  3. Step 3: Cross multiply
    31,179.64x = 43,032 × 19,850.20
  4. Step 4: Simplify right side
    31,179.64x = 854,193,806.40
  5. Step 5: Solve for x
    x = 854,193,806.40/31,179.64
  6. Step 6: Final answer
    x = 27,395.88

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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.