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Finding the Fourth Proportional to 27,739.40, 41,611.19 and 8,018.10

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Solution

The fourth proportional to 27,739.40, 41,611.19 and 8,018.10 is: 12,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.40 : 41,611.19 = 8,018.10 : x
  2. Step 2: Convert to fraction form
    27,739.40/41,611.19 = 8,018.10/x
  3. Step 3: Cross multiply
    27,739.40x = 41,611.19 × 8,018.10
  4. Step 4: Simplify right side
    27,739.40x = 333,642,642.45
  5. Step 5: Solve for x
    x = 333,642,642.45/27,739.40
  6. Step 6: Final answer
    x = 12,027.75

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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.