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Finding the Fourth Proportional to 98,400.82, 135,791.43 and 55,958.38

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Solution

The fourth proportional to 98,400.82, 135,791.43 and 55,958.38 is: 77,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400.82 : 135,791.43 = 55,958.38 : x
  2. Step 2: Convert to fraction form
    98,400.82/135,791.43 = 55,958.38/x
  3. Step 3: Cross multiply
    98,400.82x = 135,791.43 × 55,958.38
  4. Step 4: Simplify right side
    98,400.82x = 7,598,668,440.68
  5. Step 5: Solve for x
    x = 7,598,668,440.68/98,400.82
  6. Step 6: Final answer
    x = 77,221.60

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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.