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Finding the Fourth Proportional to 31,286.54, 46,957.14 and 18,120.80

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Solution

The fourth proportional to 31,286.54, 46,957.14 and 18,120.80 is: 27,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.54 : 46,957.14 = 18,120.80 : x
  2. Step 2: Convert to fraction form
    31,286.54/46,957.14 = 18,120.80/x
  3. Step 3: Cross multiply
    31,286.54x = 46,957.14 × 18,120.80
  4. Step 4: Simplify right side
    31,286.54x = 850,900,707.73
  5. Step 5: Solve for x
    x = 850,900,707.73/31,286.54
  6. Step 6: Final answer
    x = 27,197.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.