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Finding the Fourth Proportional to 38,124, 57,190 and 10,422

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Solution

The fourth proportional to 38,124, 57,190 and 10,422 is: 15,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124 : 57,190 = 10,422 : x
  2. Step 2: Convert to fraction form
    38,124/57,190 = 10,422/x
  3. Step 3: Cross multiply
    38,124x = 57,190 × 10,422
  4. Step 4: Simplify right side
    38,124x = 596,034,180
  5. Step 5: Solve for x
    x = 596,034,180/38,124
  6. Step 6: Final answer
    x = 15,634.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.