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Finding the Fourth Proportional to 27,776.32, 38,331.04 and 15,200.32

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Solution

The fourth proportional to 27,776.32, 38,331.04 and 15,200.32 is: 20,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.32 : 38,331.04 = 15,200.32 : x
  2. Step 2: Convert to fraction form
    27,776.32/38,331.04 = 15,200.32/x
  3. Step 3: Cross multiply
    27,776.32x = 38,331.04 × 15,200.32
  4. Step 4: Simplify right side
    27,776.32x = 582,644,073.93
  5. Step 5: Solve for x
    x = 582,644,073.93/27,776.32
  6. Step 6: Final answer
    x = 20,976.29

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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.