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Finding the Fourth Proportional to 27,369.51, 41,054.36 and 7,647.95

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Solution

The fourth proportional to 27,369.51, 41,054.36 and 7,647.95 is: 11,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369.51 : 41,054.36 = 7,647.95 : x
  2. Step 2: Convert to fraction form
    27,369.51/41,054.36 = 7,647.95/x
  3. Step 3: Cross multiply
    27,369.51x = 41,054.36 × 7,647.95
  4. Step 4: Simplify right side
    27,369.51x = 313,981,449.05
  5. Step 5: Solve for x
    x = 313,981,449.05/27,369.51
  6. Step 6: Final answer
    x = 11,471.94

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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.