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Finding the Fourth Proportional to 50,301.05, 69,415.11 and 27,640.31

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Solution

The fourth proportional to 50,301.05, 69,415.11 and 27,640.31 is: 38,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301.05 : 69,415.11 = 27,640.31 : x
  2. Step 2: Convert to fraction form
    50,301.05/69,415.11 = 27,640.31/x
  3. Step 3: Cross multiply
    50,301.05x = 69,415.11 × 27,640.31
  4. Step 4: Simplify right side
    50,301.05x = 1,918,654,812.01
  5. Step 5: Solve for x
    x = 1,918,654,812.01/50,301.05
  6. Step 6: Final answer
    x = 38,143.44

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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.