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Finding the Fourth Proportional to 82,029.52, 122,942.76 and 58,299.24

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Solution

The fourth proportional to 82,029.52, 122,942.76 and 58,299.24 is: 87,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,029.52 : 122,942.76 = 58,299.24 : x
  2. Step 2: Convert to fraction form
    82,029.52/122,942.76 = 58,299.24/x
  3. Step 3: Cross multiply
    82,029.52x = 122,942.76 × 58,299.24
  4. Step 4: Simplify right side
    82,029.52x = 7,167,469,471.50
  5. Step 5: Solve for x
    x = 7,167,469,471.50/82,029.52
  6. Step 6: Final answer
    x = 87,376.71

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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.