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Finding the Fourth Proportional to 38,162.84, 52,672.28 and 22,249.84

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Solution

The fourth proportional to 38,162.84, 52,672.28 and 22,249.84 is: 30,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,162.84 : 52,672.28 = 22,249.84 : x
  2. Step 2: Convert to fraction form
    38,162.84/52,672.28 = 22,249.84/x
  3. Step 3: Cross multiply
    38,162.84x = 52,672.28 × 22,249.84
  4. Step 4: Simplify right side
    38,162.84x = 1,171,949,802.44
  5. Step 5: Solve for x
    x = 1,171,949,802.44/38,162.84
  6. Step 6: Final answer
    x = 30,709.19

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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.