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Finding the Fourth Proportional to 50,489.26, 69,674.82 and 27,828.25

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Solution

The fourth proportional to 50,489.26, 69,674.82 and 27,828.25 is: 38,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489.26 : 69,674.82 = 27,828.25 : x
  2. Step 2: Convert to fraction form
    50,489.26/69,674.82 = 27,828.25/x
  3. Step 3: Cross multiply
    50,489.26x = 69,674.82 × 27,828.25
  4. Step 4: Simplify right side
    50,489.26x = 1,938,928,309.67
  5. Step 5: Solve for x
    x = 1,938,928,309.67/50,489.26
  6. Step 6: Final answer
    x = 38,402.79

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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.