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Finding the Fourth Proportional to 33,435.15, 50,130 and 15,906.75

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Solution

The fourth proportional to 33,435.15, 50,130 and 15,906.75 is: 23,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435.15 : 50,130 = 15,906.75 : x
  2. Step 2: Convert to fraction form
    33,435.15/50,130 = 15,906.75/x
  3. Step 3: Cross multiply
    33,435.15x = 50,130 × 15,906.75
  4. Step 4: Simplify right side
    33,435.15x = 797,405,377.50
  5. Step 5: Solve for x
    x = 797,405,377.50/33,435.15
  6. Step 6: Final answer
    x = 23,849.31

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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.