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Finding the Fourth Proportional to 111,321.76, 166,999.92 and 37,444

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Solution

The fourth proportional to 111,321.76, 166,999.92 and 37,444 is: 56,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,321.76 : 166,999.92 = 37,444 : x
  2. Step 2: Convert to fraction form
    111,321.76/166,999.92 = 37,444/x
  3. Step 3: Cross multiply
    111,321.76x = 166,999.92 × 37,444
  4. Step 4: Simplify right side
    111,321.76x = 6,253,145,004.48
  5. Step 5: Solve for x
    x = 6,253,145,004.48/111,321.76
  6. Step 6: Final answer
    x = 56,171.81

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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.