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Finding the Fourth Proportional to 50,397.09, 69,546.92 and 27,734.91

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Solution

The fourth proportional to 50,397.09, 69,546.92 and 27,734.91 is: 38,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,397.09 : 69,546.92 = 27,734.91 : x
  2. Step 2: Convert to fraction form
    50,397.09/69,546.92 = 27,734.91/x
  3. Step 3: Cross multiply
    50,397.09x = 69,546.92 × 27,734.91
  4. Step 4: Simplify right side
    50,397.09x = 1,928,877,428.30
  5. Step 5: Solve for x
    x = 1,928,877,428.30/50,397.09
  6. Step 6: Final answer
    x = 38,273.59

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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.