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Finding the Fourth Proportional to 36,844, 50,844.72 and 20,077

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Solution

The fourth proportional to 36,844, 50,844.72 and 20,077 is: 27,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844 : 50,844.72 = 20,077 : x
  2. Step 2: Convert to fraction form
    36,844/50,844.72 = 20,077/x
  3. Step 3: Cross multiply
    36,844x = 50,844.72 × 20,077
  4. Step 4: Simplify right side
    36,844x = 1,020,809,443.44
  5. Step 5: Solve for x
    x = 1,020,809,443.44/36,844
  6. Step 6: Final answer
    x = 27,706.26

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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.