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Finding the Fourth Proportional to 27,910.70, 41,829.60 and 11,257.10

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Solution

The fourth proportional to 27,910.70, 41,829.60 and 11,257.10 is: 16,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,910.70 : 41,829.60 = 11,257.10 : x
  2. Step 2: Convert to fraction form
    27,910.70/41,829.60 = 11,257.10/x
  3. Step 3: Cross multiply
    27,910.70x = 41,829.60 × 11,257.10
  4. Step 4: Simplify right side
    27,910.70x = 470,879,990.16
  5. Step 5: Solve for x
    x = 470,879,990.16/27,910.70
  6. Step 6: Final answer
    x = 16,870.95

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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.