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Finding the Fourth Proportional to 111,970, 167,958.24 and 28,864

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Solution

The fourth proportional to 111,970, 167,958.24 and 28,864 is: 43,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,970 : 167,958.24 = 28,864 : x
  2. Step 2: Convert to fraction form
    111,970/167,958.24 = 28,864/x
  3. Step 3: Cross multiply
    111,970x = 167,958.24 × 28,864
  4. Step 4: Simplify right side
    111,970x = 4,847,946,639.36
  5. Step 5: Solve for x
    x = 4,847,946,639.36/111,970
  6. Step 6: Final answer
    x = 43,296.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.