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Finding the Fourth Proportional to 33,775.98, 50,672.78 and 19,748

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Solution

The fourth proportional to 33,775.98, 50,672.78 and 19,748 is: 29,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,775.98 : 50,672.78 = 19,748 : x
  2. Step 2: Convert to fraction form
    33,775.98/50,672.78 = 19,748/x
  3. Step 3: Cross multiply
    33,775.98x = 50,672.78 × 19,748
  4. Step 4: Simplify right side
    33,775.98x = 1,000,686,059.44
  5. Step 5: Solve for x
    x = 1,000,686,059.44/33,775.98
  6. Step 6: Final answer
    x = 29,627.15

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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.