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Finding the Fourth Proportional to 27,330.75, 40,974.12 and 11,759.31

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Solution

The fourth proportional to 27,330.75, 40,974.12 and 11,759.31 is: 17,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,330.75 : 40,974.12 = 11,759.31 : x
  2. Step 2: Convert to fraction form
    27,330.75/40,974.12 = 11,759.31/x
  3. Step 3: Cross multiply
    27,330.75x = 40,974.12 × 11,759.31
  4. Step 4: Simplify right side
    27,330.75x = 481,827,379.06
  5. Step 5: Solve for x
    x = 481,827,379.06/27,330.75
  6. Step 6: Final answer
    x = 17,629.50

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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.