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Finding the Fourth Proportional to 33,815.14, 50,700.03 and 30,296.50

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Solution

The fourth proportional to 33,815.14, 50,700.03 and 30,296.50 is: 45,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,815.14 : 50,700.03 = 30,296.50 : x
  2. Step 2: Convert to fraction form
    33,815.14/50,700.03 = 30,296.50/x
  3. Step 3: Cross multiply
    33,815.14x = 50,700.03 × 30,296.50
  4. Step 4: Simplify right side
    33,815.14x = 1,536,033,458.90
  5. Step 5: Solve for x
    x = 1,536,033,458.90/33,815.14
  6. Step 6: Final answer
    x = 45,424.43

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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.