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Finding the Fourth Proportional to 103,813.56, 155,742.24 and 33,687.42

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Solution

The fourth proportional to 103,813.56, 155,742.24 and 33,687.42 is: 50,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,813.56 : 155,742.24 = 33,687.42 : x
  2. Step 2: Convert to fraction form
    103,813.56/155,742.24 = 33,687.42/x
  3. Step 3: Cross multiply
    103,813.56x = 155,742.24 × 33,687.42
  4. Step 4: Simplify right side
    103,813.56x = 5,246,554,250.62
  5. Step 5: Solve for x
    x = 5,246,554,250.62/103,813.56
  6. Step 6: Final answer
    x = 50,538.24

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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.