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Finding the Fourth Proportional to 54,676.59, 82,014.76 and 31,286.62

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Solution

The fourth proportional to 54,676.59, 82,014.76 and 31,286.62 is: 46,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676.59 : 82,014.76 = 31,286.62 : x
  2. Step 2: Convert to fraction form
    54,676.59/82,014.76 = 31,286.62/x
  3. Step 3: Cross multiply
    54,676.59x = 82,014.76 × 31,286.62
  4. Step 4: Simplify right side
    54,676.59x = 2,565,964,772.14
  5. Step 5: Solve for x
    x = 2,565,964,772.14/54,676.59
  6. Step 6: Final answer
    x = 46,929.86

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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.