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Finding the Fourth Proportional to 33,796.76, 50,697.77 and 10,102.50

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Solution

The fourth proportional to 33,796.76, 50,697.77 and 10,102.50 is: 15,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,796.76 : 50,697.77 = 10,102.50 : x
  2. Step 2: Convert to fraction form
    33,796.76/50,697.77 = 10,102.50/x
  3. Step 3: Cross multiply
    33,796.76x = 50,697.77 × 10,102.50
  4. Step 4: Simplify right side
    33,796.76x = 512,174,221.43
  5. Step 5: Solve for x
    x = 512,174,221.43/33,796.76
  6. Step 6: Final answer
    x = 15,154.54

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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.