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Finding the Fourth Proportional to 49,194.64, 73,791.96 and 14,134.33

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Solution

The fourth proportional to 49,194.64, 73,791.96 and 14,134.33 is: 21,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194.64 : 73,791.96 = 14,134.33 : x
  2. Step 2: Convert to fraction form
    49,194.64/73,791.96 = 14,134.33/x
  3. Step 3: Cross multiply
    49,194.64x = 73,791.96 × 14,134.33
  4. Step 4: Simplify right side
    49,194.64x = 1,042,999,913.99
  5. Step 5: Solve for x
    x = 1,042,999,913.99/49,194.64
  6. Step 6: Final answer
    x = 21,201.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.