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Finding the Fourth Proportional to 27,452.42, 41,181.21 and 7,730.94

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Solution

The fourth proportional to 27,452.42, 41,181.21 and 7,730.94 is: 11,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452.42 : 41,181.21 = 7,730.94 : x
  2. Step 2: Convert to fraction form
    27,452.42/41,181.21 = 7,730.94/x
  3. Step 3: Cross multiply
    27,452.42x = 41,181.21 × 7,730.94
  4. Step 4: Simplify right side
    27,452.42x = 318,369,618.07
  5. Step 5: Solve for x
    x = 318,369,618.07/27,452.42
  6. Step 6: Final answer
    x = 11,597.14

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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.