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Finding the Fourth Proportional to 31,640.09, 47,460.56 and 8,266.50

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Solution

The fourth proportional to 31,640.09, 47,460.56 and 8,266.50 is: 12,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.09 : 47,460.56 = 8,266.50 : x
  2. Step 2: Convert to fraction form
    31,640.09/47,460.56 = 8,266.50/x
  3. Step 3: Cross multiply
    31,640.09x = 47,460.56 × 8,266.50
  4. Step 4: Simplify right side
    31,640.09x = 392,332,677.91
  5. Step 5: Solve for x
    x = 392,332,677.91/31,640.09
  6. Step 6: Final answer
    x = 12,399.86

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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.