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Finding the Fourth Proportional to 38,126, 57,189 and 10,424

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Solution

The fourth proportional to 38,126, 57,189 and 10,424 is: 15,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,126 : 57,189 = 10,424 : x
  2. Step 2: Convert to fraction form
    38,126/57,189 = 10,424/x
  3. Step 3: Cross multiply
    38,126x = 57,189 × 10,424
  4. Step 4: Simplify right side
    38,126x = 596,138,136
  5. Step 5: Solve for x
    x = 596,138,136/38,126
  6. Step 6: Final answer
    x = 15,636

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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.