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Finding the Fourth Proportional to 33,755.36, 50,633.85 and 10,382

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Solution

The fourth proportional to 33,755.36, 50,633.85 and 10,382 is: 15,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,755.36 : 50,633.85 = 10,382 : x
  2. Step 2: Convert to fraction form
    33,755.36/50,633.85 = 10,382/x
  3. Step 3: Cross multiply
    33,755.36x = 50,633.85 × 10,382
  4. Step 4: Simplify right side
    33,755.36x = 525,680,630.70
  5. Step 5: Solve for x
    x = 525,680,630.70/33,755.36
  6. Step 6: Final answer
    x = 15,573.25

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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.