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Finding the Fourth Proportional to 36,927, 50,959.44 and 20,160

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Solution

The fourth proportional to 36,927, 50,959.44 and 20,160 is: 27,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,927 : 50,959.44 = 20,160 : x
  2. Step 2: Convert to fraction form
    36,927/50,959.44 = 20,160/x
  3. Step 3: Cross multiply
    36,927x = 50,959.44 × 20,160
  4. Step 4: Simplify right side
    36,927x = 1,027,342,310.40
  5. Step 5: Solve for x
    x = 1,027,342,310.40/36,927
  6. Step 6: Final answer
    x = 27,820.90

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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.