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Finding the Fourth Proportional to 41,257.44, 56,914.56 and 27,811.68

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Solution

The fourth proportional to 41,257.44, 56,914.56 and 27,811.68 is: 38,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,257.44 : 56,914.56 = 27,811.68 : x
  2. Step 2: Convert to fraction form
    41,257.44/56,914.56 = 27,811.68/x
  3. Step 3: Cross multiply
    41,257.44x = 56,914.56 × 27,811.68
  4. Step 4: Simplify right side
    41,257.44x = 1,582,889,530.06
  5. Step 5: Solve for x
    x = 1,582,889,530.06/41,257.44
  6. Step 6: Final answer
    x = 38,366.16

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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.