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Finding the Fourth Proportional to 110,903.34, 166,305.60 and 31,998.81

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Solution

The fourth proportional to 110,903.34, 166,305.60 and 31,998.81 is: 47,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,903.34 : 166,305.60 = 31,998.81 : x
  2. Step 2: Convert to fraction form
    110,903.34/166,305.60 = 31,998.81/x
  3. Step 3: Cross multiply
    110,903.34x = 166,305.60 × 31,998.81
  4. Step 4: Simplify right side
    110,903.34x = 5,321,581,296.34
  5. Step 5: Solve for x
    x = 5,321,581,296.34/110,903.34
  6. Step 6: Final answer
    x = 47,983.96

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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.