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Finding the Fourth Proportional to 110,983.96, 166,471.08 and 32,096.44

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Solution

The fourth proportional to 110,983.96, 166,471.08 and 32,096.44 is: 48,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,983.96 : 166,471.08 = 32,096.44 : x
  2. Step 2: Convert to fraction form
    110,983.96/166,471.08 = 32,096.44/x
  3. Step 3: Cross multiply
    110,983.96x = 166,471.08 × 32,096.44
  4. Step 4: Simplify right side
    110,983.96x = 5,343,129,030.96
  5. Step 5: Solve for x
    x = 5,343,129,030.96/110,983.96
  6. Step 6: Final answer
    x = 48,143.25

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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.