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Finding the Fourth Proportional to 105,687.60, 158,538.60 and 33,634.80

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Solution

The fourth proportional to 105,687.60, 158,538.60 and 33,634.80 is: 50,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,687.60 : 158,538.60 = 33,634.80 : x
  2. Step 2: Convert to fraction form
    105,687.60/158,538.60 = 33,634.80/x
  3. Step 3: Cross multiply
    105,687.60x = 158,538.60 × 33,634.80
  4. Step 4: Simplify right side
    105,687.60x = 5,332,414,103.28
  5. Step 5: Solve for x
    x = 5,332,414,103.28/105,687.60
  6. Step 6: Final answer
    x = 50,454.49

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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.