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Finding the Fourth Proportional to 54,857.44, 82,290 and 27,148

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Solution

The fourth proportional to 54,857.44, 82,290 and 27,148 is: 40,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,857.44 : 82,290 = 27,148 : x
  2. Step 2: Convert to fraction form
    54,857.44/82,290 = 27,148/x
  3. Step 3: Cross multiply
    54,857.44x = 82,290 × 27,148
  4. Step 4: Simplify right side
    54,857.44x = 2,234,008,920
  5. Step 5: Solve for x
    x = 2,234,008,920/54,857.44
  6. Step 6: Final answer
    x = 40,723.90

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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.