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Finding the Fourth Proportional to 31,550.50, 47,311.89 and 11,815.22

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Solution

The fourth proportional to 31,550.50, 47,311.89 and 11,815.22 is: 17,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550.50 : 47,311.89 = 11,815.22 : x
  2. Step 2: Convert to fraction form
    31,550.50/47,311.89 = 11,815.22/x
  3. Step 3: Cross multiply
    31,550.50x = 47,311.89 × 11,815.22
  4. Step 4: Simplify right side
    31,550.50x = 559,000,388.97
  5. Step 5: Solve for x
    x = 559,000,388.97/31,550.50
  6. Step 6: Final answer
    x = 17,717.64

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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.