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Finding the Fourth Proportional to 33,473.67, 50,209.29 and 10,099.50

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Solution

The fourth proportional to 33,473.67, 50,209.29 and 10,099.50 is: 15,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.67 : 50,209.29 = 10,099.50 : x
  2. Step 2: Convert to fraction form
    33,473.67/50,209.29 = 10,099.50/x
  3. Step 3: Cross multiply
    33,473.67x = 50,209.29 × 10,099.50
  4. Step 4: Simplify right side
    33,473.67x = 507,088,724.36
  5. Step 5: Solve for x
    x = 507,088,724.36/33,473.67
  6. Step 6: Final answer
    x = 15,148.88

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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.