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Finding the Fourth Proportional to 30,469.30, 42,046.86 and 16,857.86

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Solution

The fourth proportional to 30,469.30, 42,046.86 and 16,857.86 is: 23,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.30 : 42,046.86 = 16,857.86 : x
  2. Step 2: Convert to fraction form
    30,469.30/42,046.86 = 16,857.86/x
  3. Step 3: Cross multiply
    30,469.30x = 42,046.86 × 16,857.86
  4. Step 4: Simplify right side
    30,469.30x = 708,819,932.30
  5. Step 5: Solve for x
    x = 708,819,932.30/30,469.30
  6. Step 6: Final answer
    x = 23,263.42

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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.