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Finding the Fourth Proportional to 27,161.37, 40,736.52 and 7,438.41

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Solution

The fourth proportional to 27,161.37, 40,736.52 and 7,438.41 is: 11,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,161.37 : 40,736.52 = 7,438.41 : x
  2. Step 2: Convert to fraction form
    27,161.37/40,736.52 = 7,438.41/x
  3. Step 3: Cross multiply
    27,161.37x = 40,736.52 × 7,438.41
  4. Step 4: Simplify right side
    27,161.37x = 303,014,937.73
  5. Step 5: Solve for x
    x = 303,014,937.73/27,161.37
  6. Step 6: Final answer
    x = 11,156.10

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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.