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Finding the Fourth Proportional to 33,562, 50,353.98 and 10,188.46

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Solution

The fourth proportional to 33,562, 50,353.98 and 10,188.46 is: 15,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,562 : 50,353.98 = 10,188.46 : x
  2. Step 2: Convert to fraction form
    33,562/50,353.98 = 10,188.46/x
  3. Step 3: Cross multiply
    33,562x = 50,353.98 × 10,188.46
  4. Step 4: Simplify right side
    33,562x = 513,029,511.07
  5. Step 5: Solve for x
    x = 513,029,511.07/33,562
  6. Step 6: Final answer
    x = 15,286.02

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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.