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Finding the Fourth Proportional to 36,942, 50,980.26 and 20,175

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Solution

The fourth proportional to 36,942, 50,980.26 and 20,175 is: 27,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,942 : 50,980.26 = 20,175 : x
  2. Step 2: Convert to fraction form
    36,942/50,980.26 = 20,175/x
  3. Step 3: Cross multiply
    36,942x = 50,980.26 × 20,175
  4. Step 4: Simplify right side
    36,942x = 1,028,526,745.50
  5. Step 5: Solve for x
    x = 1,028,526,745.50/36,942
  6. Step 6: Final answer
    x = 27,841.66

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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.