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Finding the Fourth Proportional to 47,755.22, 65,912.09 and 27,609.30

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Solution

The fourth proportional to 47,755.22, 65,912.09 and 27,609.30 is: 38,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.22 : 65,912.09 = 27,609.30 : x
  2. Step 2: Convert to fraction form
    47,755.22/65,912.09 = 27,609.30/x
  3. Step 3: Cross multiply
    47,755.22x = 65,912.09 × 27,609.30
  4. Step 4: Simplify right side
    47,755.22x = 1,819,786,528.39
  5. Step 5: Solve for x
    x = 1,819,786,528.39/47,755.22
  6. Step 6: Final answer
    x = 38,106.55

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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.