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Finding the Fourth Proportional to 111,923, 167,884.50 and 38,051

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Solution

The fourth proportional to 111,923, 167,884.50 and 38,051 is: 57,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,923 : 167,884.50 = 38,051 : x
  2. Step 2: Convert to fraction form
    111,923/167,884.50 = 38,051/x
  3. Step 3: Cross multiply
    111,923x = 167,884.50 × 38,051
  4. Step 4: Simplify right side
    111,923x = 6,388,173,109.50
  5. Step 5: Solve for x
    x = 6,388,173,109.50/111,923
  6. Step 6: Final answer
    x = 57,076.50

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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.