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Finding the Fourth Proportional to 36,179.88, 49,918.20 and 22,022.64

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Solution

The fourth proportional to 36,179.88, 49,918.20 and 22,022.64 is: 30,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,179.88 : 49,918.20 = 22,022.64 : x
  2. Step 2: Convert to fraction form
    36,179.88/49,918.20 = 22,022.64/x
  3. Step 3: Cross multiply
    36,179.88x = 49,918.20 × 22,022.64
  4. Step 4: Simplify right side
    36,179.88x = 1,099,330,548.05
  5. Step 5: Solve for x
    x = 1,099,330,548.05/36,179.88
  6. Step 6: Final answer
    x = 30,385.14

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1.5x scale

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.