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Finding the Fourth Proportional to 36,796.68, 50,783.36 and 22,453.61

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Solution

The fourth proportional to 36,796.68, 50,783.36 and 22,453.61 is: 30,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,796.68 : 50,783.36 = 22,453.61 : x
  2. Step 2: Convert to fraction form
    36,796.68/50,783.36 = 22,453.61/x
  3. Step 3: Cross multiply
    36,796.68x = 50,783.36 × 22,453.61
  4. Step 4: Simplify right side
    36,796.68x = 1,140,269,393.74
  5. Step 5: Solve for x
    x = 1,140,269,393.74/36,796.68
  6. Step 6: Final answer
    x = 30,988.38

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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.