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Finding the Fourth Proportional to 33,735.98, 50,601.54 and 10,361

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Solution

The fourth proportional to 33,735.98, 50,601.54 and 10,361 is: 15,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,735.98 : 50,601.54 = 10,361 : x
  2. Step 2: Convert to fraction form
    33,735.98/50,601.54 = 10,361/x
  3. Step 3: Cross multiply
    33,735.98x = 50,601.54 × 10,361
  4. Step 4: Simplify right side
    33,735.98x = 524,282,555.94
  5. Step 5: Solve for x
    x = 524,282,555.94/33,735.98
  6. Step 6: Final answer
    x = 15,540.75

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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.