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Finding the Fourth Proportional to 27,825.75, 41,741.06 and 7,049.25

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Solution

The fourth proportional to 27,825.75, 41,741.06 and 7,049.25 is: 10,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.75 : 41,741.06 = 7,049.25 : x
  2. Step 2: Convert to fraction form
    27,825.75/41,741.06 = 7,049.25/x
  3. Step 3: Cross multiply
    27,825.75x = 41,741.06 × 7,049.25
  4. Step 4: Simplify right side
    27,825.75x = 294,243,131.96
  5. Step 5: Solve for x
    x = 294,243,131.96/27,825.75
  6. Step 6: Final answer
    x = 10,574.49

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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.