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Finding the Fourth Proportional to 27,823.45, 41,735.25 and 8,102.49

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Solution

The fourth proportional to 27,823.45, 41,735.25 and 8,102.49 is: 12,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.45 : 41,735.25 = 8,102.49 : x
  2. Step 2: Convert to fraction form
    27,823.45/41,735.25 = 8,102.49/x
  3. Step 3: Cross multiply
    27,823.45x = 41,735.25 × 8,102.49
  4. Step 4: Simplify right side
    27,823.45x = 338,159,445.77
  5. Step 5: Solve for x
    x = 338,159,445.77/27,823.45
  6. Step 6: Final answer
    x = 12,153.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.