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Finding the Fourth Proportional to 27,793.26, 41,731.41 and 27,378.08

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Solution

The fourth proportional to 27,793.26, 41,731.41 and 27,378.08 is: 41,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.26 : 41,731.41 = 27,378.08 : x
  2. Step 2: Convert to fraction form
    27,793.26/41,731.41 = 27,378.08/x
  3. Step 3: Cross multiply
    27,793.26x = 41,731.41 × 27,378.08
  4. Step 4: Simplify right side
    27,793.26x = 1,142,525,672.84
  5. Step 5: Solve for x
    x = 1,142,525,672.84/27,793.26
  6. Step 6: Final answer
    x = 41,108.01

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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.