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Finding the Fourth Proportional to 33,532.12, 50,305.97 and 9,838.70

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Solution

The fourth proportional to 33,532.12, 50,305.97 and 9,838.70 is: 14,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,532.12 : 50,305.97 = 9,838.70 : x
  2. Step 2: Convert to fraction form
    33,532.12/50,305.97 = 9,838.70/x
  3. Step 3: Cross multiply
    33,532.12x = 50,305.97 × 9,838.70
  4. Step 4: Simplify right side
    33,532.12x = 494,945,423.61
  5. Step 5: Solve for x
    x = 494,945,423.61/33,532.12
  6. Step 6: Final answer
    x = 14,760.34

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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.