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Finding the Fourth Proportional to 50,519, 75,788.22 and 22,817

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Solution

The fourth proportional to 50,519, 75,788.22 and 22,817 is: 34,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,519 : 75,788.22 = 22,817 : x
  2. Step 2: Convert to fraction form
    50,519/75,788.22 = 22,817/x
  3. Step 3: Cross multiply
    50,519x = 75,788.22 × 22,817
  4. Step 4: Simplify right side
    50,519x = 1,729,259,815.74
  5. Step 5: Solve for x
    x = 1,729,259,815.74/50,519
  6. Step 6: Final answer
    x = 34,229.89

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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.