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Finding the Fourth Proportional to 50,430.70, 69,593.78 and 27,769.24

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Solution

The fourth proportional to 50,430.70, 69,593.78 and 27,769.24 is: 38,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,430.70 : 69,593.78 = 27,769.24 : x
  2. Step 2: Convert to fraction form
    50,430.70/69,593.78 = 27,769.24/x
  3. Step 3: Cross multiply
    50,430.70x = 69,593.78 × 27,769.24
  4. Step 4: Simplify right side
    50,430.70x = 1,932,566,379.33
  5. Step 5: Solve for x
    x = 1,932,566,379.33/50,430.70
  6. Step 6: Final answer
    x = 38,321.23

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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.