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Finding the Fourth Proportional to 50,040.82, 69,048.21 and 27,680.50

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Solution

The fourth proportional to 50,040.82, 69,048.21 and 27,680.50 is: 38,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,040.82 : 69,048.21 = 27,680.50 : x
  2. Step 2: Convert to fraction form
    50,040.82/69,048.21 = 27,680.50/x
  3. Step 3: Cross multiply
    50,040.82x = 69,048.21 × 27,680.50
  4. Step 4: Simplify right side
    50,040.82x = 1,911,288,976.91
  5. Step 5: Solve for x
    x = 1,911,288,976.91/50,040.82
  6. Step 6: Final answer
    x = 38,194.60

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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.