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Finding the Fourth Proportional to 33,141.38, 45,735.10 and 19,002.42

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Solution

The fourth proportional to 33,141.38, 45,735.10 and 19,002.42 is: 26,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.38 : 45,735.10 = 19,002.42 : x
  2. Step 2: Convert to fraction form
    33,141.38/45,735.10 = 19,002.42/x
  3. Step 3: Cross multiply
    33,141.38x = 45,735.10 × 19,002.42
  4. Step 4: Simplify right side
    33,141.38x = 869,077,531.44
  5. Step 5: Solve for x
    x = 869,077,531.44/33,141.38
  6. Step 6: Final answer
    x = 26,223.34

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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.