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Finding the Fourth Proportional to 82,243.92, 113,496.66 and 46,434

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Solution

The fourth proportional to 82,243.92, 113,496.66 and 46,434 is: 64,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243.92 : 113,496.66 = 46,434 : x
  2. Step 2: Convert to fraction form
    82,243.92/113,496.66 = 46,434/x
  3. Step 3: Cross multiply
    82,243.92x = 113,496.66 × 46,434
  4. Step 4: Simplify right side
    82,243.92x = 5,270,103,910.44
  5. Step 5: Solve for x
    x = 5,270,103,910.44/82,243.92
  6. Step 6: Final answer
    x = 64,078.95

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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.