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Finding the Fourth Proportional to 95,720, 132,093.60 and 55,976

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Solution

The fourth proportional to 95,720, 132,093.60 and 55,976 is: 77,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,720 : 132,093.60 = 55,976 : x
  2. Step 2: Convert to fraction form
    95,720/132,093.60 = 55,976/x
  3. Step 3: Cross multiply
    95,720x = 132,093.60 × 55,976
  4. Step 4: Simplify right side
    95,720x = 7,394,071,353.60
  5. Step 5: Solve for x
    x = 7,394,071,353.60/95,720
  6. Step 6: Final answer
    x = 77,246.88

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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.