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Finding the Fourth Proportional to 75,627.25, 113,448 and 22,319.42

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Solution

The fourth proportional to 75,627.25, 113,448 and 22,319.42 is: 33,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,627.25 : 113,448 = 22,319.42 : x
  2. Step 2: Convert to fraction form
    75,627.25/113,448 = 22,319.42/x
  3. Step 3: Cross multiply
    75,627.25x = 113,448 × 22,319.42
  4. Step 4: Simplify right side
    75,627.25x = 2,532,093,560.16
  5. Step 5: Solve for x
    x = 2,532,093,560.16/75,627.25
  6. Step 6: Final answer
    x = 33,481.23

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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.