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Finding the Fourth Proportional to 33,099.20, 49,643.67 and 9,407.85

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Solution

The fourth proportional to 33,099.20, 49,643.67 and 9,407.85 is: 14,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099.20 : 49,643.67 = 9,407.85 : x
  2. Step 2: Convert to fraction form
    33,099.20/49,643.67 = 9,407.85/x
  3. Step 3: Cross multiply
    33,099.20x = 49,643.67 × 9,407.85
  4. Step 4: Simplify right side
    33,099.20x = 467,039,997.01
  5. Step 5: Solve for x
    x = 467,039,997.01/33,099.20
  6. Step 6: Final answer
    x = 14,110.31

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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.