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Finding the Fourth Proportional to 27,823.89, 41,735.91 and 8,102.93

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Solution

The fourth proportional to 27,823.89, 41,735.91 and 8,102.93 is: 12,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.89 : 41,735.91 = 8,102.93 : x
  2. Step 2: Convert to fraction form
    27,823.89/41,735.91 = 8,102.93/x
  3. Step 3: Cross multiply
    27,823.89x = 41,735.91 × 8,102.93
  4. Step 4: Simplify right side
    27,823.89x = 338,183,032.62
  5. Step 5: Solve for x
    x = 338,183,032.62/27,823.89
  6. Step 6: Final answer
    x = 12,154.41

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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.