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Finding the Fourth Proportional to 33,294.24, 49,924.64 and 11,099.76

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Solution

The fourth proportional to 33,294.24, 49,924.64 and 11,099.76 is: 16,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,294.24 : 49,924.64 = 11,099.76 : x
  2. Step 2: Convert to fraction form
    33,294.24/49,924.64 = 11,099.76/x
  3. Step 3: Cross multiply
    33,294.24x = 49,924.64 × 11,099.76
  4. Step 4: Simplify right side
    33,294.24x = 554,151,522.09
  5. Step 5: Solve for x
    x = 554,151,522.09/33,294.24
  6. Step 6: Final answer
    x = 16,644.07

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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.