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Finding the Fourth Proportional to 36,568.70, 50,469.82 and 21,046

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Solution

The fourth proportional to 36,568.70, 50,469.82 and 21,046 is: 29,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,568.70 : 50,469.82 = 21,046 : x
  2. Step 2: Convert to fraction form
    36,568.70/50,469.82 = 21,046/x
  3. Step 3: Cross multiply
    36,568.70x = 50,469.82 × 21,046
  4. Step 4: Simplify right side
    36,568.70x = 1,062,187,831.72
  5. Step 5: Solve for x
    x = 1,062,187,831.72/36,568.70
  6. Step 6: Final answer
    x = 29,046.37

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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.