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Finding the Fourth Proportional to 50,400, 75,600 and 17,568

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Solution

The fourth proportional to 50,400, 75,600 and 17,568 is: 26,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,400 : 75,600 = 17,568 : x
  2. Step 2: Convert to fraction form
    50,400/75,600 = 17,568/x
  3. Step 3: Cross multiply
    50,400x = 75,600 × 17,568
  4. Step 4: Simplify right side
    50,400x = 1,328,140,800
  5. Step 5: Solve for x
    x = 1,328,140,800/50,400
  6. Step 6: Final answer
    x = 26,352

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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.