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Finding the Fourth Proportional to 27,181.92, 40,772.52 and 7,460.48

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Solution

The fourth proportional to 27,181.92, 40,772.52 and 7,460.48 is: 11,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.92 : 40,772.52 = 7,460.48 : x
  2. Step 2: Convert to fraction form
    27,181.92/40,772.52 = 7,460.48/x
  3. Step 3: Cross multiply
    27,181.92x = 40,772.52 × 7,460.48
  4. Step 4: Simplify right side
    27,181.92x = 304,182,570.01
  5. Step 5: Solve for x
    x = 304,182,570.01/27,181.92
  6. Step 6: Final answer
    x = 11,190.62

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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.