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Finding the Fourth Proportional to 77,229.06, 115,844.76 and 30,481.50

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Solution

The fourth proportional to 77,229.06, 115,844.76 and 30,481.50 is: 45,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,229.06 : 115,844.76 = 30,481.50 : x
  2. Step 2: Convert to fraction form
    77,229.06/115,844.76 = 30,481.50/x
  3. Step 3: Cross multiply
    77,229.06x = 115,844.76 × 30,481.50
  4. Step 4: Simplify right side
    77,229.06x = 3,531,122,051.94
  5. Step 5: Solve for x
    x = 3,531,122,051.94/77,229.06
  6. Step 6: Final answer
    x = 45,722.71

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