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Finding the Fourth Proportional to 33,825.85, 50,741 and 8,866.51

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Solution

The fourth proportional to 33,825.85, 50,741 and 8,866.51 is: 13,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.85 : 50,741 = 8,866.51 : x
  2. Step 2: Convert to fraction form
    33,825.85/50,741 = 8,866.51/x
  3. Step 3: Cross multiply
    33,825.85x = 50,741 × 8,866.51
  4. Step 4: Simplify right side
    33,825.85x = 449,895,583.91
  5. Step 5: Solve for x
    x = 449,895,583.91/33,825.85
  6. Step 6: Final answer
    x = 13,300.35

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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.