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Finding the Fourth Proportional to 111,394.98, 167,102.28 and 31,433.64

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Solution

The fourth proportional to 111,394.98, 167,102.28 and 31,433.64 is: 47,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,394.98 : 167,102.28 = 31,433.64 : x
  2. Step 2: Convert to fraction form
    111,394.98/167,102.28 = 31,433.64/x
  3. Step 3: Cross multiply
    111,394.98x = 167,102.28 × 31,433.64
  4. Step 4: Simplify right side
    111,394.98x = 5,252,632,912.70
  5. Step 5: Solve for x
    x = 5,252,632,912.70/111,394.98
  6. Step 6: Final answer
    x = 47,153.23

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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.