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Finding the Fourth Proportional to 47,831.82, 71,747.80 and 22,866

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Solution

The fourth proportional to 47,831.82, 71,747.80 and 22,866 is: 34,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,831.82 : 71,747.80 = 22,866 : x
  2. Step 2: Convert to fraction form
    47,831.82/71,747.80 = 22,866/x
  3. Step 3: Cross multiply
    47,831.82x = 71,747.80 × 22,866
  4. Step 4: Simplify right side
    47,831.82x = 1,640,585,194.80
  5. Step 5: Solve for x
    x = 1,640,585,194.80/47,831.82
  6. Step 6: Final answer
    x = 34,299.03

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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.