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Finding the Fourth Proportional to 33,105.38, 45,685.42 and 18,201.38

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Solution

The fourth proportional to 33,105.38, 45,685.42 and 18,201.38 is: 25,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105.38 : 45,685.42 = 18,201.38 : x
  2. Step 2: Convert to fraction form
    33,105.38/45,685.42 = 18,201.38/x
  3. Step 3: Cross multiply
    33,105.38x = 45,685.42 × 18,201.38
  4. Step 4: Simplify right side
    33,105.38x = 831,537,415.95
  5. Step 5: Solve for x
    x = 831,537,415.95/33,105.38
  6. Step 6: Final answer
    x = 25,117.90

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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.