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Finding the Fourth Proportional to 27,742.23, 41,618.88 and 8,021.03

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Solution

The fourth proportional to 27,742.23, 41,618.88 and 8,021.03 is: 12,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.23 : 41,618.88 = 8,021.03 : x
  2. Step 2: Convert to fraction form
    27,742.23/41,618.88 = 8,021.03/x
  3. Step 3: Cross multiply
    27,742.23x = 41,618.88 × 8,021.03
  4. Step 4: Simplify right side
    27,742.23x = 333,826,076.95
  5. Step 5: Solve for x
    x = 333,826,076.95/27,742.23
  6. Step 6: Final answer
    x = 12,033.14

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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.