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Finding the Fourth Proportional to 50,650.46, 69,897.37 and 27,991.03

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Solution

The fourth proportional to 50,650.46, 69,897.37 and 27,991.03 is: 38,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,650.46 : 69,897.37 = 27,991.03 : x
  2. Step 2: Convert to fraction form
    50,650.46/69,897.37 = 27,991.03/x
  3. Step 3: Cross multiply
    50,650.46x = 69,897.37 × 27,991.03
  4. Step 4: Simplify right side
    50,650.46x = 1,956,499,380.59
  5. Step 5: Solve for x
    x = 1,956,499,380.59/50,650.46
  6. Step 6: Final answer
    x = 38,627.48

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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.