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Finding the Fourth Proportional to 71,224.26, 106,761.06 and 26,831.82

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Solution

The fourth proportional to 71,224.26, 106,761.06 and 26,831.82 is: 40,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,224.26 : 106,761.06 = 26,831.82 : x
  2. Step 2: Convert to fraction form
    71,224.26/106,761.06 = 26,831.82/x
  3. Step 3: Cross multiply
    71,224.26x = 106,761.06 × 26,831.82
  4. Step 4: Simplify right side
    71,224.26x = 2,864,593,544.93
  5. Step 5: Solve for x
    x = 2,864,593,544.93/71,224.26
  6. Step 6: Final answer
    x = 40,219.35

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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.