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Finding the Fourth Proportional to 110,908.36, 166,313.08 and 32,003.84

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Solution

The fourth proportional to 110,908.36, 166,313.08 and 32,003.84 is: 47,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,908.36 : 166,313.08 = 32,003.84 : x
  2. Step 2: Convert to fraction form
    110,908.36/166,313.08 = 32,003.84/x
  3. Step 3: Cross multiply
    110,908.36x = 166,313.08 × 32,003.84
  4. Step 4: Simplify right side
    110,908.36x = 5,322,657,202.23
  5. Step 5: Solve for x
    x = 5,322,657,202.23/110,908.36
  6. Step 6: Final answer
    x = 47,991.49

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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.