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Finding the Fourth Proportional to 105,422.14, 158,110.38 and 33,380.74

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Solution

The fourth proportional to 105,422.14, 158,110.38 and 33,380.74 is: 50,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.14 : 158,110.38 = 33,380.74 : x
  2. Step 2: Convert to fraction form
    105,422.14/158,110.38 = 33,380.74/x
  3. Step 3: Cross multiply
    105,422.14x = 158,110.38 × 33,380.74
  4. Step 4: Simplify right side
    105,422.14x = 5,277,841,486.08
  5. Step 5: Solve for x
    x = 5,277,841,486.08/105,422.14
  6. Step 6: Final answer
    x = 50,063.88

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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.