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Finding the Fourth Proportional to 54,935.31, 82,247.31 and 36,158.88

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Solution

The fourth proportional to 54,935.31, 82,247.31 and 36,158.88 is: 54,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,935.31 : 82,247.31 = 36,158.88 : x
  2. Step 2: Convert to fraction form
    54,935.31/82,247.31 = 36,158.88/x
  3. Step 3: Cross multiply
    54,935.31x = 82,247.31 × 36,158.88
  4. Step 4: Simplify right side
    54,935.31x = 2,973,970,612.61
  5. Step 5: Solve for x
    x = 2,973,970,612.61/54,935.31
  6. Step 6: Final answer
    x = 54,135.87

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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.