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Finding the Fourth Proportional to 27,804.89, 41,711.40 and 8,080.88

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Solution

The fourth proportional to 27,804.89, 41,711.40 and 8,080.88 is: 12,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.89 : 41,711.40 = 8,080.88 : x
  2. Step 2: Convert to fraction form
    27,804.89/41,711.40 = 8,080.88/x
  3. Step 3: Cross multiply
    27,804.89x = 41,711.40 × 8,080.88
  4. Step 4: Simplify right side
    27,804.89x = 337,064,777.63
  5. Step 5: Solve for x
    x = 337,064,777.63/27,804.89
  6. Step 6: Final answer
    x = 12,122.50

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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.