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Finding the Fourth Proportional to 111,383.40, 167,082.38 and 32,491

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Solution

The fourth proportional to 111,383.40, 167,082.38 and 32,491 is: 48,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,383.40 : 167,082.38 = 32,491 : x
  2. Step 2: Convert to fraction form
    111,383.40/167,082.38 = 32,491/x
  3. Step 3: Cross multiply
    111,383.40x = 167,082.38 × 32,491
  4. Step 4: Simplify right side
    111,383.40x = 5,428,673,608.58
  5. Step 5: Solve for x
    x = 5,428,673,608.58/111,383.40
  6. Step 6: Final answer
    x = 48,738.62

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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.