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Finding the Fourth Proportional to 36,792.52, 50,778 and 20,662.48

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Solution

The fourth proportional to 36,792.52, 50,778 and 20,662.48 is: 28,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,792.52 : 50,778 = 20,662.48 : x
  2. Step 2: Convert to fraction form
    36,792.52/50,778 = 20,662.48/x
  3. Step 3: Cross multiply
    36,792.52x = 50,778 × 20,662.48
  4. Step 4: Simplify right side
    36,792.52x = 1,049,199,409.44
  5. Step 5: Solve for x
    x = 1,049,199,409.44/36,792.52
  6. Step 6: Final answer
    x = 28,516.65

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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.