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Finding the Fourth Proportional to 38,165.74, 52,672.05 and 22,249.84

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Solution

The fourth proportional to 38,165.74, 52,672.05 and 22,249.84 is: 30,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,165.74 : 52,672.05 = 22,249.84 : x
  2. Step 2: Convert to fraction form
    38,165.74/52,672.05 = 22,249.84/x
  3. Step 3: Cross multiply
    38,165.74x = 52,672.05 × 22,249.84
  4. Step 4: Simplify right side
    38,165.74x = 1,171,944,684.97
  5. Step 5: Solve for x
    x = 1,171,944,684.97/38,165.74
  6. Step 6: Final answer
    x = 30,706.72

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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.