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Finding the Fourth Proportional to 49,131.21, 67,803.84 and 27,914.88

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Solution

The fourth proportional to 49,131.21, 67,803.84 and 27,914.88 is: 38,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131.21 : 67,803.84 = 27,914.88 : x
  2. Step 2: Convert to fraction form
    49,131.21/67,803.84 = 27,914.88/x
  3. Step 3: Cross multiply
    49,131.21x = 67,803.84 × 27,914.88
  4. Step 4: Simplify right side
    49,131.21x = 1,892,736,057.14
  5. Step 5: Solve for x
    x = 1,892,736,057.14/49,131.21
  6. Step 6: Final answer
    x = 38,524.11

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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.