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Finding the Fourth Proportional to 33,539.70, 50,309.54 and 10,166.13

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Solution

The fourth proportional to 33,539.70, 50,309.54 and 10,166.13 is: 15,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,539.70 : 50,309.54 = 10,166.13 : x
  2. Step 2: Convert to fraction form
    33,539.70/50,309.54 = 10,166.13/x
  3. Step 3: Cross multiply
    33,539.70x = 50,309.54 × 10,166.13
  4. Step 4: Simplify right side
    33,539.70x = 511,453,495.56
  5. Step 5: Solve for x
    x = 511,453,495.56/33,539.70
  6. Step 6: Final answer
    x = 15,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.