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Finding the Fourth Proportional to 33,817.32, 50,738.94 and 15,345

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Solution

The fourth proportional to 33,817.32, 50,738.94 and 15,345 is: 23,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,817.32 : 50,738.94 = 15,345 : x
  2. Step 2: Convert to fraction form
    33,817.32/50,738.94 = 15,345/x
  3. Step 3: Cross multiply
    33,817.32x = 50,738.94 × 15,345
  4. Step 4: Simplify right side
    33,817.32x = 778,589,034.30
  5. Step 5: Solve for x
    x = 778,589,034.30/33,817.32
  6. Step 6: Final answer
    x = 23,023.38

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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.