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Finding the Fourth Proportional to 38,298.64, 52,850.41 and 22,163.39

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Solution

The fourth proportional to 38,298.64, 52,850.41 and 22,163.39 is: 30,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.64 : 52,850.41 = 22,163.39 : x
  2. Step 2: Convert to fraction form
    38,298.64/52,850.41 = 22,163.39/x
  3. Step 3: Cross multiply
    38,298.64x = 52,850.41 × 22,163.39
  4. Step 4: Simplify right side
    38,298.64x = 1,171,344,248.49
  5. Step 5: Solve for x
    x = 1,171,344,248.49/38,298.64
  6. Step 6: Final answer
    x = 30,584.49

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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.