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Finding the Fourth Proportional to 38,105, 52,584.19 and 21,108.87

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Solution

The fourth proportional to 38,105, 52,584.19 and 21,108.87 is: 29,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,105 : 52,584.19 = 21,108.87 : x
  2. Step 2: Convert to fraction form
    38,105/52,584.19 = 21,108.87/x
  3. Step 3: Cross multiply
    38,105x = 52,584.19 × 21,108.87
  4. Step 4: Simplify right side
    38,105x = 1,109,992,725.69
  5. Step 5: Solve for x
    x = 1,109,992,725.69/38,105
  6. Step 6: Final answer
    x = 29,129.84

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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.