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Finding the Fourth Proportional to 30,286.48, 41,795 and 16,857.52

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Solution

The fourth proportional to 30,286.48, 41,795 and 16,857.52 is: 23,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.48 : 41,795 = 16,857.52 : x
  2. Step 2: Convert to fraction form
    30,286.48/41,795 = 16,857.52/x
  3. Step 3: Cross multiply
    30,286.48x = 41,795 × 16,857.52
  4. Step 4: Simplify right side
    30,286.48x = 704,560,048.40
  5. Step 5: Solve for x
    x = 704,560,048.40/30,286.48
  6. Step 6: Final answer
    x = 23,263.19

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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.