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Finding the Fourth Proportional to 49,131.37, 67,803.11 and 27,914.23

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Solution

The fourth proportional to 49,131.37, 67,803.11 and 27,914.23 is: 38,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131.37 : 67,803.11 = 27,914.23 : x
  2. Step 2: Convert to fraction form
    49,131.37/67,803.11 = 27,914.23/x
  3. Step 3: Cross multiply
    49,131.37x = 67,803.11 × 27,914.23
  4. Step 4: Simplify right side
    49,131.37x = 1,892,671,467.68
  5. Step 5: Solve for x
    x = 1,892,671,467.68/49,131.37
  6. Step 6: Final answer
    x = 38,522.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.