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Finding the Fourth Proportional to 50,394.81, 69,542.33 and 27,733.22

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Solution

The fourth proportional to 50,394.81, 69,542.33 and 27,733.22 is: 38,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,394.81 : 69,542.33 = 27,733.22 : x
  2. Step 2: Convert to fraction form
    50,394.81/69,542.33 = 27,733.22/x
  3. Step 3: Cross multiply
    50,394.81x = 69,542.33 × 27,733.22
  4. Step 4: Simplify right side
    50,394.81x = 1,928,632,824.13
  5. Step 5: Solve for x
    x = 1,928,632,824.13/50,394.81
  6. Step 6: Final answer
    x = 38,270.46

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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.