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Finding the Fourth Proportional to 57,054.78, 85,624.22 and 27,069.11

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Solution

The fourth proportional to 57,054.78, 85,624.22 and 27,069.11 is: 40,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054.78 : 85,624.22 = 27,069.11 : x
  2. Step 2: Convert to fraction form
    57,054.78/85,624.22 = 27,069.11/x
  3. Step 3: Cross multiply
    57,054.78x = 85,624.22 × 27,069.11
  4. Step 4: Simplify right side
    57,054.78x = 2,317,770,866.38
  5. Step 5: Solve for x
    x = 2,317,770,866.38/57,054.78
  6. Step 6: Final answer
    x = 40,623.61

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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.