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Finding the Fourth Proportional to 70,872, 106,354.08 and 27,096

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Solution

The fourth proportional to 70,872, 106,354.08 and 27,096 is: 40,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,872 : 106,354.08 = 27,096 : x
  2. Step 2: Convert to fraction form
    70,872/106,354.08 = 27,096/x
  3. Step 3: Cross multiply
    70,872x = 106,354.08 × 27,096
  4. Step 4: Simplify right side
    70,872x = 2,881,770,151.68
  5. Step 5: Solve for x
    x = 2,881,770,151.68/70,872
  6. Step 6: Final answer
    x = 40,661.62

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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.