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Finding the Fourth Proportional to 33,838.40, 50,745.18 and 11,645.48

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Solution

The fourth proportional to 33,838.40, 50,745.18 and 11,645.48 is: 17,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.40 : 50,745.18 = 11,645.48 : x
  2. Step 2: Convert to fraction form
    33,838.40/50,745.18 = 11,645.48/x
  3. Step 3: Cross multiply
    33,838.40x = 50,745.18 × 11,645.48
  4. Step 4: Simplify right side
    33,838.40x = 590,951,978.79
  5. Step 5: Solve for x
    x = 590,951,978.79/33,838.40
  6. Step 6: Final answer
    x = 17,463.95

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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.