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Finding the Fourth Proportional to 48,827, 73,240.50 and 11,891

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Solution

The fourth proportional to 48,827, 73,240.50 and 11,891 is: 17,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,827 : 73,240.50 = 11,891 : x
  2. Step 2: Convert to fraction form
    48,827/73,240.50 = 11,891/x
  3. Step 3: Cross multiply
    48,827x = 73,240.50 × 11,891
  4. Step 4: Simplify right side
    48,827x = 870,902,785.50
  5. Step 5: Solve for x
    x = 870,902,785.50/48,827
  6. Step 6: Final answer
    x = 17,836.50

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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.