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Finding the Fourth Proportional to 33,500.17, 50,257.55 and 10,126

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Solution

The fourth proportional to 33,500.17, 50,257.55 and 10,126 is: 15,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500.17 : 50,257.55 = 10,126 : x
  2. Step 2: Convert to fraction form
    33,500.17/50,257.55 = 10,126/x
  3. Step 3: Cross multiply
    33,500.17x = 50,257.55 × 10,126
  4. Step 4: Simplify right side
    33,500.17x = 508,907,951.30
  5. Step 5: Solve for x
    x = 508,907,951.30/33,500.17
  6. Step 6: Final answer
    x = 15,191.21

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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.