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Finding the Fourth Proportional to 54,806.79, 82,142.76 and 43,667.67

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Solution

The fourth proportional to 54,806.79, 82,142.76 and 43,667.67 is: 65,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,806.79 : 82,142.76 = 43,667.67 : x
  2. Step 2: Convert to fraction form
    54,806.79/82,142.76 = 43,667.67/x
  3. Step 3: Cross multiply
    54,806.79x = 82,142.76 × 43,667.67
  4. Step 4: Simplify right side
    54,806.79x = 3,586,982,936.57
  5. Step 5: Solve for x
    x = 3,586,982,936.57/54,806.79
  6. Step 6: Final answer
    x = 65,447.78

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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.