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Finding the Fourth Proportional to 54,324.30, 81,486.45 and 49,658.70

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Solution

The fourth proportional to 54,324.30, 81,486.45 and 49,658.70 is: 74,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.30 : 81,486.45 = 49,658.70 : x
  2. Step 2: Convert to fraction form
    54,324.30/81,486.45 = 49,658.70/x
  3. Step 3: Cross multiply
    54,324.30x = 81,486.45 × 49,658.70
  4. Step 4: Simplify right side
    54,324.30x = 4,046,511,174.62
  5. Step 5: Solve for x
    x = 4,046,511,174.62/54,324.30
  6. Step 6: Final answer
    x = 74,488.05

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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.