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Finding the Fourth Proportional to 50,045, 69,064.26 and 27,689

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Solution

The fourth proportional to 50,045, 69,064.26 and 27,689 is: 38,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,045 : 69,064.26 = 27,689 : x
  2. Step 2: Convert to fraction form
    50,045/69,064.26 = 27,689/x
  3. Step 3: Cross multiply
    50,045x = 69,064.26 × 27,689
  4. Step 4: Simplify right side
    50,045x = 1,912,320,295.14
  5. Step 5: Solve for x
    x = 1,912,320,295.14/50,045
  6. Step 6: Final answer
    x = 38,212.02

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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.