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Finding the Fourth Proportional to 50,564, 75,846 and 13,628

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Solution

The fourth proportional to 50,564, 75,846 and 13,628 is: 20,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564 : 75,846 = 13,628 : x
  2. Step 2: Convert to fraction form
    50,564/75,846 = 13,628/x
  3. Step 3: Cross multiply
    50,564x = 75,846 × 13,628
  4. Step 4: Simplify right side
    50,564x = 1,033,629,288
  5. Step 5: Solve for x
    x = 1,033,629,288/50,564
  6. Step 6: Final answer
    x = 20,442

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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.