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Finding the Fourth Proportional to 30,469.88, 42,046.68 and 16,857.12

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Solution

The fourth proportional to 30,469.88, 42,046.68 and 16,857.12 is: 23,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.88 : 42,046.68 = 16,857.12 : x
  2. Step 2: Convert to fraction form
    30,469.88/42,046.68 = 16,857.12/x
  3. Step 3: Cross multiply
    30,469.88x = 42,046.68 × 16,857.12
  4. Step 4: Simplify right side
    30,469.88x = 708,785,930.36
  5. Step 5: Solve for x
    x = 708,785,930.36/30,469.88
  6. Step 6: Final answer
    x = 23,261.85

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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.