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Finding the Fourth Proportional to 49,871.62, 68,831.74 and 29,729.80

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Solution

The fourth proportional to 49,871.62, 68,831.74 and 29,729.80 is: 41,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871.62 : 68,831.74 = 29,729.80 : x
  2. Step 2: Convert to fraction form
    49,871.62/68,831.74 = 29,729.80/x
  3. Step 3: Cross multiply
    49,871.62x = 68,831.74 × 29,729.80
  4. Step 4: Simplify right side
    49,871.62x = 2,046,353,863.85
  5. Step 5: Solve for x
    x = 2,046,353,863.85/49,871.62
  6. Step 6: Final answer
    x = 41,032.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.