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Finding the Fourth Proportional to 57,730.65, 86,589.82 and 27,328.54

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Solution

The fourth proportional to 57,730.65, 86,589.82 and 27,328.54 is: 40,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730.65 : 86,589.82 = 27,328.54 : x
  2. Step 2: Convert to fraction form
    57,730.65/86,589.82 = 27,328.54/x
  3. Step 3: Cross multiply
    57,730.65x = 86,589.82 × 27,328.54
  4. Step 4: Simplify right side
    57,730.65x = 2,366,373,359.46
  5. Step 5: Solve for x
    x = 2,366,373,359.46/57,730.65
  6. Step 6: Final answer
    x = 40,989.90

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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.