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Finding the Fourth Proportional to 38,297.64, 52,849.04 and 22,162.39

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Solution

The fourth proportional to 38,297.64, 52,849.04 and 22,162.39 is: 30,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.64 : 52,849.04 = 22,162.39 : x
  2. Step 2: Convert to fraction form
    38,297.64/52,849.04 = 22,162.39/x
  3. Step 3: Cross multiply
    38,297.64x = 52,849.04 × 22,162.39
  4. Step 4: Simplify right side
    38,297.64x = 1,171,260,660.55
  5. Step 5: Solve for x
    x = 1,171,260,660.55/38,297.64
  6. Step 6: Final answer
    x = 30,583.11

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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.