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Finding the Fourth Proportional to 36,704.64, 50,636.16 and 21,792

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Solution

The fourth proportional to 36,704.64, 50,636.16 and 21,792 is: 30,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,704.64 : 50,636.16 = 21,792 : x
  2. Step 2: Convert to fraction form
    36,704.64/50,636.16 = 21,792/x
  3. Step 3: Cross multiply
    36,704.64x = 50,636.16 × 21,792
  4. Step 4: Simplify right side
    36,704.64x = 1,103,463,198.72
  5. Step 5: Solve for x
    x = 1,103,463,198.72/36,704.64
  6. Step 6: Final answer
    x = 30,063.32

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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.