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Finding the Fourth Proportional to 82,118.30, 113,324.90 and 46,301.38

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Solution

The fourth proportional to 82,118.30, 113,324.90 and 46,301.38 is: 63,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,118.30 : 113,324.90 = 46,301.38 : x
  2. Step 2: Convert to fraction form
    82,118.30/113,324.90 = 46,301.38/x
  3. Step 3: Cross multiply
    82,118.30x = 113,324.90 × 46,301.38
  4. Step 4: Simplify right side
    82,118.30x = 5,247,098,743.54
  5. Step 5: Solve for x
    x = 5,247,098,743.54/82,118.30
  6. Step 6: Final answer
    x = 63,896.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.