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Finding the Fourth Proportional to 54,942.92, 82,266.75 and 45,199.83

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Solution

The fourth proportional to 54,942.92, 82,266.75 and 45,199.83 is: 67,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,942.92 : 82,266.75 = 45,199.83 : x
  2. Step 2: Convert to fraction form
    54,942.92/82,266.75 = 45,199.83/x
  3. Step 3: Cross multiply
    54,942.92x = 82,266.75 × 45,199.83
  4. Step 4: Simplify right side
    54,942.92x = 3,718,443,114.65
  5. Step 5: Solve for x
    x = 3,718,443,114.65/54,942.92
  6. Step 6: Final answer
    x = 67,678.29

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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.