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Finding the Fourth Proportional to 50,328, 69,456.96 and 27,976.32

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Solution

The fourth proportional to 50,328, 69,456.96 and 27,976.32 is: 38,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,328 : 69,456.96 = 27,976.32 : x
  2. Step 2: Convert to fraction form
    50,328/69,456.96 = 27,976.32/x
  3. Step 3: Cross multiply
    50,328x = 69,456.96 × 27,976.32
  4. Step 4: Simplify right side
    50,328x = 1,943,150,139.19
  5. Step 5: Solve for x
    x = 1,943,150,139.19/50,328
  6. Step 6: Final answer
    x = 38,609.72

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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.