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Finding the Fourth Proportional to 33,193.44, 49,797.54 and 14,476.50

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Solution

The fourth proportional to 33,193.44, 49,797.54 and 14,476.50 is: 21,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,193.44 : 49,797.54 = 14,476.50 : x
  2. Step 2: Convert to fraction form
    33,193.44/49,797.54 = 14,476.50/x
  3. Step 3: Cross multiply
    33,193.44x = 49,797.54 × 14,476.50
  4. Step 4: Simplify right side
    33,193.44x = 720,894,087.81
  5. Step 5: Solve for x
    x = 720,894,087.81/33,193.44
  6. Step 6: Final answer
    x = 21,717.97

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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.