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Finding the Fourth Proportional to 111,944.34, 167,922.27 and 31,976.00

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Solution

The fourth proportional to 111,944.34, 167,922.27 and 31,976.00 is: 47,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,944.34 : 167,922.27 = 31,976.00 : x
  2. Step 2: Convert to fraction form
    111,944.34/167,922.27 = 31,976.00/x
  3. Step 3: Cross multiply
    111,944.34x = 167,922.27 × 31,976.00
  4. Step 4: Simplify right side
    111,944.34x = 5,369,481,506.03
  5. Step 5: Solve for x
    x = 5,369,481,506.03/111,944.34
  6. Step 6: Final answer
    x = 47,965.64

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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.