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Finding the Fourth Proportional to 27,649.72, 41,481.06 and 12,071.80

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Solution

The fourth proportional to 27,649.72, 41,481.06 and 12,071.80 is: 18,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.72 : 41,481.06 = 12,071.80 : x
  2. Step 2: Convert to fraction form
    27,649.72/41,481.06 = 12,071.80/x
  3. Step 3: Cross multiply
    27,649.72x = 41,481.06 × 12,071.80
  4. Step 4: Simplify right side
    27,649.72x = 500,751,060.11
  5. Step 5: Solve for x
    x = 500,751,060.11/27,649.72
  6. Step 6: Final answer
    x = 18,110.53

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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.