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Finding the Fourth Proportional to 82,107.54, 122,853.75 and 58,469.70

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Solution

The fourth proportional to 82,107.54, 122,853.75 and 58,469.70 is: 87,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.54 : 122,853.75 = 58,469.70 : x
  2. Step 2: Convert to fraction form
    82,107.54/122,853.75 = 58,469.70/x
  3. Step 3: Cross multiply
    82,107.54x = 122,853.75 × 58,469.70
  4. Step 4: Simplify right side
    82,107.54x = 7,183,221,906.38
  5. Step 5: Solve for x
    x = 7,183,221,906.38/82,107.54
  6. Step 6: Final answer
    x = 87,485.53

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1.5x scale

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.