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Finding the Fourth Proportional to 33,672.54, 50,514.46 and 10,293.50

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Solution

The fourth proportional to 33,672.54, 50,514.46 and 10,293.50 is: 15,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672.54 : 50,514.46 = 10,293.50 : x
  2. Step 2: Convert to fraction form
    33,672.54/50,514.46 = 10,293.50/x
  3. Step 3: Cross multiply
    33,672.54x = 50,514.46 × 10,293.50
  4. Step 4: Simplify right side
    33,672.54x = 519,970,594.01
  5. Step 5: Solve for x
    x = 519,970,594.01/33,672.54
  6. Step 6: Final answer
    x = 15,441.98

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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.