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Finding the Fourth Proportional to 33,531.66, 50,305.28 and 9,838.25

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Solution

The fourth proportional to 33,531.66, 50,305.28 and 9,838.25 is: 14,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531.66 : 50,305.28 = 9,838.25 : x
  2. Step 2: Convert to fraction form
    33,531.66/50,305.28 = 9,838.25/x
  3. Step 3: Cross multiply
    33,531.66x = 50,305.28 × 9,838.25
  4. Step 4: Simplify right side
    33,531.66x = 494,915,920.96
  5. Step 5: Solve for x
    x = 494,915,920.96/33,531.66
  6. Step 6: Final answer
    x = 14,759.66

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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.