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Finding the Fourth Proportional to 33,100, 45,717 and 21,902.56

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Solution

The fourth proportional to 33,100, 45,717 and 21,902.56 is: 30,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100 : 45,717 = 21,902.56 : x
  2. Step 2: Convert to fraction form
    33,100/45,717 = 21,902.56/x
  3. Step 3: Cross multiply
    33,100x = 45,717 × 21,902.56
  4. Step 4: Simplify right side
    33,100x = 1,001,319,335.52
  5. Step 5: Solve for x
    x = 1,001,319,335.52/33,100
  6. Step 6: Final answer
    x = 30,251.34

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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.