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Finding the Fourth Proportional to 111,019.62, 166,584.10 and 51,846.70

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Solution

The fourth proportional to 111,019.62, 166,584.10 and 51,846.70 is: 77,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,019.62 : 166,584.10 = 51,846.70 : x
  2. Step 2: Convert to fraction form
    111,019.62/166,584.10 = 51,846.70/x
  3. Step 3: Cross multiply
    111,019.62x = 166,584.10 × 51,846.70
  4. Step 4: Simplify right side
    111,019.62x = 8,636,835,857.47
  5. Step 5: Solve for x
    x = 8,636,835,857.47/111,019.62
  6. Step 6: Final answer
    x = 77,795.58

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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.