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Finding the Fourth Proportional to 31,105.70, 46,644.50 and 8,914

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Solution

The fourth proportional to 31,105.70, 46,644.50 and 8,914 is: 13,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.70 : 46,644.50 = 8,914 : x
  2. Step 2: Convert to fraction form
    31,105.70/46,644.50 = 8,914/x
  3. Step 3: Cross multiply
    31,105.70x = 46,644.50 × 8,914
  4. Step 4: Simplify right side
    31,105.70x = 415,789,073
  5. Step 5: Solve for x
    x = 415,789,073/31,105.70
  6. Step 6: Final answer
    x = 13,366.97

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Why These Related Problems?

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