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Finding the Fourth Proportional to 50,144, 75,216 and 13,208

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Solution

The fourth proportional to 50,144, 75,216 and 13,208 is: 19,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,144 : 75,216 = 13,208 : x
  2. Step 2: Convert to fraction form
    50,144/75,216 = 13,208/x
  3. Step 3: Cross multiply
    50,144x = 75,216 × 13,208
  4. Step 4: Simplify right side
    50,144x = 993,452,928
  5. Step 5: Solve for x
    x = 993,452,928/50,144
  6. Step 6: Final answer
    x = 19,812

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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.