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Finding the Fourth Proportional to 48,758, 73,137 and 11,822

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Solution

The fourth proportional to 48,758, 73,137 and 11,822 is: 17,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,758 : 73,137 = 11,822 : x
  2. Step 2: Convert to fraction form
    48,758/73,137 = 11,822/x
  3. Step 3: Cross multiply
    48,758x = 73,137 × 11,822
  4. Step 4: Simplify right side
    48,758x = 864,625,614
  5. Step 5: Solve for x
    x = 864,625,614/48,758
  6. Step 6: Final answer
    x = 17,733

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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.