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Finding the Fourth Proportional to 31,204.69, 46,797.79 and 9,018.27

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Solution

The fourth proportional to 31,204.69, 46,797.79 and 9,018.27 is: 13,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.69 : 46,797.79 = 9,018.27 : x
  2. Step 2: Convert to fraction form
    31,204.69/46,797.79 = 9,018.27/x
  3. Step 3: Cross multiply
    31,204.69x = 46,797.79 × 9,018.27
  4. Step 4: Simplify right side
    31,204.69x = 422,035,105.62
  5. Step 5: Solve for x
    x = 422,035,105.62/31,204.69
  6. Step 6: Final answer
    x = 13,524.73

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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.