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Finding the Fourth Proportional to 116,439.78, 174,659.29 and 32,199.73

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Solution

The fourth proportional to 116,439.78, 174,659.29 and 32,199.73 is: 48,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,439.78 : 174,659.29 = 32,199.73 : x
  2. Step 2: Convert to fraction form
    116,439.78/174,659.29 = 32,199.73/x
  3. Step 3: Cross multiply
    116,439.78x = 174,659.29 × 32,199.73
  4. Step 4: Simplify right side
    116,439.78x = 5,623,981,462.84
  5. Step 5: Solve for x
    x = 5,623,981,462.84/116,439.78
  6. Step 6: Final answer
    x = 48,299.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.