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Finding the Fourth Proportional to 33,838.50, 50,766.53 and 10,145.09

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Solution

The fourth proportional to 33,838.50, 50,766.53 and 10,145.09 is: 15,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.50 : 50,766.53 = 10,145.09 : x
  2. Step 2: Convert to fraction form
    33,838.50/50,766.53 = 10,145.09/x
  3. Step 3: Cross multiply
    33,838.50x = 50,766.53 × 10,145.09
  4. Step 4: Simplify right side
    33,838.50x = 515,030,762.01
  5. Step 5: Solve for x
    x = 515,030,762.01/33,838.50
  6. Step 6: Final answer
    x = 15,220.26

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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.