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Finding the Fourth Proportional to 38,096, 57,144 and 16,208

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Solution

The fourth proportional to 38,096, 57,144 and 16,208 is: 24,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096 : 57,144 = 16,208 : x
  2. Step 2: Convert to fraction form
    38,096/57,144 = 16,208/x
  3. Step 3: Cross multiply
    38,096x = 57,144 × 16,208
  4. Step 4: Simplify right side
    38,096x = 926,189,952
  5. Step 5: Solve for x
    x = 926,189,952/38,096
  6. Step 6: Final answer
    x = 24,312

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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.