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Finding the Fourth Proportional to 33,097, 45,674.02 and 18,193

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Solution

The fourth proportional to 33,097, 45,674.02 and 18,193 is: 25,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097 : 45,674.02 = 18,193 : x
  2. Step 2: Convert to fraction form
    33,097/45,674.02 = 18,193/x
  3. Step 3: Cross multiply
    33,097x = 45,674.02 × 18,193
  4. Step 4: Simplify right side
    33,097x = 830,947,445.86
  5. Step 5: Solve for x
    x = 830,947,445.86/33,097
  6. Step 6: Final answer
    x = 25,106.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.