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Finding the Fourth Proportional to 49,129.12, 67,791.72 and 27,620.32

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Solution

The fourth proportional to 49,129.12, 67,791.72 and 27,620.32 is: 38,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,129.12 : 67,791.72 = 27,620.32 : x
  2. Step 2: Convert to fraction form
    49,129.12/67,791.72 = 27,620.32/x
  3. Step 3: Cross multiply
    49,129.12x = 67,791.72 × 27,620.32
  4. Step 4: Simplify right side
    49,129.12x = 1,872,428,999.75
  5. Step 5: Solve for x
    x = 1,872,428,999.75/49,129.12
  6. Step 6: Final answer
    x = 38,112.41

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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.