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Finding the Fourth Proportional to 106,958.44, 160,422.30 and 33,076.84

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Solution

The fourth proportional to 106,958.44, 160,422.30 and 33,076.84 is: 49,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,958.44 : 160,422.30 = 33,076.84 : x
  2. Step 2: Convert to fraction form
    106,958.44/160,422.30 = 33,076.84/x
  3. Step 3: Cross multiply
    106,958.44x = 160,422.30 × 33,076.84
  4. Step 4: Simplify right side
    106,958.44x = 5,306,262,749.53
  5. Step 5: Solve for x
    x = 5,306,262,749.53/106,958.44
  6. Step 6: Final answer
    x = 49,610.51

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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.