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Finding the Fourth Proportional to 27,085.85, 40,635.69 and 10,441.41

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Solution

The fourth proportional to 27,085.85, 40,635.69 and 10,441.41 is: 15,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.85 : 40,635.69 = 10,441.41 : x
  2. Step 2: Convert to fraction form
    27,085.85/40,635.69 = 10,441.41/x
  3. Step 3: Cross multiply
    27,085.85x = 40,635.69 × 10,441.41
  4. Step 4: Simplify right side
    27,085.85x = 424,293,899.92
  5. Step 5: Solve for x
    x = 424,293,899.92/27,085.85
  6. Step 6: Final answer
    x = 15,664.78

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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.