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Finding the Fourth Proportional to 82,107.25, 123,206.99 and 44,669.94

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Solution

The fourth proportional to 82,107.25, 123,206.99 and 44,669.94 is: 67,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.25 : 123,206.99 = 44,669.94 : x
  2. Step 2: Convert to fraction form
    82,107.25/123,206.99 = 44,669.94/x
  3. Step 3: Cross multiply
    82,107.25x = 123,206.99 × 44,669.94
  4. Step 4: Simplify right side
    82,107.25x = 5,503,648,011.50
  5. Step 5: Solve for x
    x = 5,503,648,011.50/82,107.25
  6. Step 6: Final answer
    x = 67,029.99

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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.