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Finding the Fourth Proportional to 33,889.26, 50,851.23 and 16,140

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Solution

The fourth proportional to 33,889.26, 50,851.23 and 16,140 is: 24,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,889.26 : 50,851.23 = 16,140 : x
  2. Step 2: Convert to fraction form
    33,889.26/50,851.23 = 16,140/x
  3. Step 3: Cross multiply
    33,889.26x = 50,851.23 × 16,140
  4. Step 4: Simplify right side
    33,889.26x = 820,738,852.20
  5. Step 5: Solve for x
    x = 820,738,852.20/33,889.26
  6. Step 6: Final answer
    x = 24,218.26

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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.