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Finding the Fourth Proportional to 50,197.43, 69,274.22 and 27,536.46

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Solution

The fourth proportional to 50,197.43, 69,274.22 and 27,536.46 is: 38,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,197.43 : 69,274.22 = 27,536.46 : x
  2. Step 2: Convert to fraction form
    50,197.43/69,274.22 = 27,536.46/x
  3. Step 3: Cross multiply
    50,197.43x = 69,274.22 × 27,536.46
  4. Step 4: Simplify right side
    50,197.43x = 1,907,566,650.38
  5. Step 5: Solve for x
    x = 1,907,566,650.38/50,197.43
  6. Step 6: Final answer
    x = 38,001.28

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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.