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Finding the Fourth Proportional to 57,371.68, 85,979.76 and 27,730.54

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Solution

The fourth proportional to 57,371.68, 85,979.76 and 27,730.54 is: 41,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,371.68 : 85,979.76 = 27,730.54 : x
  2. Step 2: Convert to fraction form
    57,371.68/85,979.76 = 27,730.54/x
  3. Step 3: Cross multiply
    57,371.68x = 85,979.76 × 27,730.54
  4. Step 4: Simplify right side
    57,371.68x = 2,384,265,173.87
  5. Step 5: Solve for x
    x = 2,384,265,173.87/57,371.68
  6. Step 6: Final answer
    x = 41,558.22

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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.