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Finding the Fourth Proportional to 33,435, 50,133.06 and 11,236.14

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Solution

The fourth proportional to 33,435, 50,133.06 and 11,236.14 is: 16,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435 : 50,133.06 = 11,236.14 : x
  2. Step 2: Convert to fraction form
    33,435/50,133.06 = 11,236.14/x
  3. Step 3: Cross multiply
    33,435x = 50,133.06 × 11,236.14
  4. Step 4: Simplify right side
    33,435x = 563,302,080.79
  5. Step 5: Solve for x
    x = 563,302,080.79/33,435
  6. Step 6: Final answer
    x = 16,847.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.