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Finding the Fourth Proportional to 33,823, 50,734.56 and 9,199

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Solution

The fourth proportional to 33,823, 50,734.56 and 9,199 is: 13,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823 : 50,734.56 = 9,199 : x
  2. Step 2: Convert to fraction form
    33,823/50,734.56 = 9,199/x
  3. Step 3: Cross multiply
    33,823x = 50,734.56 × 9,199
  4. Step 4: Simplify right side
    33,823x = 466,707,217.44
  5. Step 5: Solve for x
    x = 466,707,217.44/33,823
  6. Step 6: Final answer
    x = 13,798.52

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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.