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Finding the Fourth Proportional to 27,739.44, 41,602.95 and 8,013.60

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Solution

The fourth proportional to 27,739.44, 41,602.95 and 8,013.60 is: 12,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.44 : 41,602.95 = 8,013.60 : x
  2. Step 2: Convert to fraction form
    27,739.44/41,602.95 = 8,013.60/x
  3. Step 3: Cross multiply
    27,739.44x = 41,602.95 × 8,013.60
  4. Step 4: Simplify right side
    27,739.44x = 333,389,400.12
  5. Step 5: Solve for x
    x = 333,389,400.12/27,739.44
  6. Step 6: Final answer
    x = 12,018.61

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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.