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Finding the Fourth Proportional to 36,851.14, 50,840.13 and 22,679.38

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Solution

The fourth proportional to 36,851.14, 50,840.13 and 22,679.38 is: 31,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,851.14 : 50,840.13 = 22,679.38 : x
  2. Step 2: Convert to fraction form
    36,851.14/50,840.13 = 22,679.38/x
  3. Step 3: Cross multiply
    36,851.14x = 50,840.13 × 22,679.38
  4. Step 4: Simplify right side
    36,851.14x = 1,153,022,627.52
  5. Step 5: Solve for x
    x = 1,153,022,627.52/36,851.14
  6. Step 6: Final answer
    x = 31,288.66

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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.