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Finding the Fourth Proportional to 105,873.44, 158,791.80 and 34,796.54

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Solution

The fourth proportional to 105,873.44, 158,791.80 and 34,796.54 is: 52,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873.44 : 158,791.80 = 34,796.54 : x
  2. Step 2: Convert to fraction form
    105,873.44/158,791.80 = 34,796.54/x
  3. Step 3: Cross multiply
    105,873.44x = 158,791.80 × 34,796.54
  4. Step 4: Simplify right side
    105,873.44x = 5,525,405,220.37
  5. Step 5: Solve for x
    x = 5,525,405,220.37/105,873.44
  6. Step 6: Final answer
    x = 52,188.78

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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.