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Finding the Fourth Proportional to 33,841.86, 50,752.92 and 10,148.46

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Solution

The fourth proportional to 33,841.86, 50,752.92 and 10,148.46 is: 15,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.86 : 50,752.92 = 10,148.46 : x
  2. Step 2: Convert to fraction form
    33,841.86/50,752.92 = 10,148.46/x
  3. Step 3: Cross multiply
    33,841.86x = 50,752.92 × 10,148.46
  4. Step 4: Simplify right side
    33,841.86x = 515,063,978.50
  5. Step 5: Solve for x
    x = 515,063,978.50/33,841.86
  6. Step 6: Final answer
    x = 15,219.73

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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.