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Finding the Fourth Proportional to 27,945.49, 41,922.41 and 9,227.50

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Solution

The fourth proportional to 27,945.49, 41,922.41 and 9,227.50 is: 13,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945.49 : 41,922.41 = 9,227.50 : x
  2. Step 2: Convert to fraction form
    27,945.49/41,922.41 = 9,227.50/x
  3. Step 3: Cross multiply
    27,945.49x = 41,922.41 × 9,227.50
  4. Step 4: Simplify right side
    27,945.49x = 386,839,038.28
  5. Step 5: Solve for x
    x = 386,839,038.28/27,945.49
  6. Step 6: Final answer
    x = 13,842.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.