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Finding the Fourth Proportional to 109,842.68, 164,764.13 and 33,942.85

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Solution

The fourth proportional to 109,842.68, 164,764.13 and 33,942.85 is: 50,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,842.68 : 164,764.13 = 33,942.85 : x
  2. Step 2: Convert to fraction form
    109,842.68/164,764.13 = 33,942.85/x
  3. Step 3: Cross multiply
    109,842.68x = 164,764.13 × 33,942.85
  4. Step 4: Simplify right side
    109,842.68x = 5,592,563,568.35
  5. Step 5: Solve for x
    x = 5,592,563,568.35/109,842.68
  6. Step 6: Final answer
    x = 50,914.30

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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.