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Finding the Fourth Proportional to 50,546, 75,819 and 17,714

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Solution

The fourth proportional to 50,546, 75,819 and 17,714 is: 26,571

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,546 : 75,819 = 17,714 : x
  2. Step 2: Convert to fraction form
    50,546/75,819 = 17,714/x
  3. Step 3: Cross multiply
    50,546x = 75,819 × 17,714
  4. Step 4: Simplify right side
    50,546x = 1,343,057,766
  5. Step 5: Solve for x
    x = 1,343,057,766/50,546
  6. Step 6: Final answer
    x = 26,571

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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.