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Finding the Fourth Proportional to 50,409.47, 69,564.50 and 27,747.96

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Solution

The fourth proportional to 50,409.47, 69,564.50 and 27,747.96 is: 38,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.47 : 69,564.50 = 27,747.96 : x
  2. Step 2: Convert to fraction form
    50,409.47/69,564.50 = 27,747.96/x
  3. Step 3: Cross multiply
    50,409.47x = 69,564.50 × 27,747.96
  4. Step 4: Simplify right side
    50,409.47x = 1,930,272,824.68
  5. Step 5: Solve for x
    x = 1,930,272,824.68/50,409.47
  6. Step 6: Final answer
    x = 38,291.87

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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.