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Finding the Fourth Proportional to 111,309.36, 166,991.48 and 32,424.28

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Solution

The fourth proportional to 111,309.36, 166,991.48 and 32,424.28 is: 48,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,309.36 : 166,991.48 = 32,424.28 : x
  2. Step 2: Convert to fraction form
    111,309.36/166,991.48 = 32,424.28/x
  3. Step 3: Cross multiply
    111,309.36x = 166,991.48 × 32,424.28
  4. Step 4: Simplify right side
    111,309.36x = 5,414,578,505.13
  5. Step 5: Solve for x
    x = 5,414,578,505.13/111,309.36
  6. Step 6: Final answer
    x = 48,644.41

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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.