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Finding the Fourth Proportional to 27,999, 41,999.31 and 7,222.50

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Solution

The fourth proportional to 27,999, 41,999.31 and 7,222.50 is: 10,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999 : 41,999.31 = 7,222.50 : x
  2. Step 2: Convert to fraction form
    27,999/41,999.31 = 7,222.50/x
  3. Step 3: Cross multiply
    27,999x = 41,999.31 × 7,222.50
  4. Step 4: Simplify right side
    27,999x = 303,340,016.48
  5. Step 5: Solve for x
    x = 303,340,016.48/27,999
  6. Step 6: Final answer
    x = 10,833.96

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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.