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Finding the Fourth Proportional to 71,831.31, 107,747.03 and 22,583.31

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Solution

The fourth proportional to 71,831.31, 107,747.03 and 22,583.31 is: 33,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831.31 : 107,747.03 = 22,583.31 : x
  2. Step 2: Convert to fraction form
    71,831.31/107,747.03 = 22,583.31/x
  3. Step 3: Cross multiply
    71,831.31x = 107,747.03 × 22,583.31
  4. Step 4: Simplify right side
    71,831.31x = 2,433,284,467.15
  5. Step 5: Solve for x
    x = 2,433,284,467.15/71,831.31
  6. Step 6: Final answer
    x = 33,874.98

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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.