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Finding the Fourth Proportional to 36,844.16, 50,843.31 and 20,928.38

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Solution

The fourth proportional to 36,844.16, 50,843.31 and 20,928.38 is: 28,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844.16 : 50,843.31 = 20,928.38 : x
  2. Step 2: Convert to fraction form
    36,844.16/50,843.31 = 20,928.38/x
  3. Step 3: Cross multiply
    36,844.16x = 50,843.31 × 20,928.38
  4. Step 4: Simplify right side
    36,844.16x = 1,064,068,112.14
  5. Step 5: Solve for x
    x = 1,064,068,112.14/36,844.16
  6. Step 6: Final answer
    x = 28,880.24

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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.