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Finding the Fourth Proportional to 31,107.88, 42,928.10 and 16,961

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Solution

The fourth proportional to 31,107.88, 42,928.10 and 16,961 is: 23,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.88 : 42,928.10 = 16,961 : x
  2. Step 2: Convert to fraction form
    31,107.88/42,928.10 = 16,961/x
  3. Step 3: Cross multiply
    31,107.88x = 42,928.10 × 16,961
  4. Step 4: Simplify right side
    31,107.88x = 728,103,504.10
  5. Step 5: Solve for x
    x = 728,103,504.10/31,107.88
  6. Step 6: Final answer
    x = 23,405.76

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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.