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Finding the Fourth Proportional to 48,775, 73,162.68 and 11,839

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Solution

The fourth proportional to 48,775, 73,162.68 and 11,839 is: 17,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,775 : 73,162.68 = 11,839 : x
  2. Step 2: Convert to fraction form
    48,775/73,162.68 = 11,839/x
  3. Step 3: Cross multiply
    48,775x = 73,162.68 × 11,839
  4. Step 4: Simplify right side
    48,775x = 866,172,968.52
  5. Step 5: Solve for x
    x = 866,172,968.52/48,775
  6. Step 6: Final answer
    x = 17,758.54

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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.