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Finding the Fourth Proportional to 33,697.35, 50,534.75 and 11,202.84

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Solution

The fourth proportional to 33,697.35, 50,534.75 and 11,202.84 is: 16,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,697.35 : 50,534.75 = 11,202.84 : x
  2. Step 2: Convert to fraction form
    33,697.35/50,534.75 = 11,202.84/x
  3. Step 3: Cross multiply
    33,697.35x = 50,534.75 × 11,202.84
  4. Step 4: Simplify right side
    33,697.35x = 566,132,746.70
  5. Step 5: Solve for x
    x = 566,132,746.70/33,697.35
  6. Step 6: Final answer
    x = 16,800.51

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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.