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Finding the Fourth Proportional to 33,099.82, 49,649.29 and 8,140.08

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Solution

The fourth proportional to 33,099.82, 49,649.29 and 8,140.08 is: 12,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.82 : 49,649.29 = 8,140.08 : x
  2. Step 2: Convert to fraction form
    33,099.82/49,649.29 = 8,140.08/x
  3. Step 3: Cross multiply
    33,099.82x = 49,649.29 × 8,140.08
  4. Step 4: Simplify right side
    33,099.82x = 404,149,172.19
  5. Step 5: Solve for x
    x = 404,149,172.19/33,099.82
  6. Step 6: Final answer
    x = 12,210.01

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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.