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Finding the Fourth Proportional to 33,419.36, 50,124 and 11,231.84

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Solution

The fourth proportional to 33,419.36, 50,124 and 11,231.84 is: 16,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.36 : 50,124 = 11,231.84 : x
  2. Step 2: Convert to fraction form
    33,419.36/50,124 = 11,231.84/x
  3. Step 3: Cross multiply
    33,419.36x = 50,124 × 11,231.84
  4. Step 4: Simplify right side
    33,419.36x = 562,984,748.16
  5. Step 5: Solve for x
    x = 562,984,748.16/33,419.36
  6. Step 6: Final answer
    x = 16,846.07

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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.