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Finding the Fourth Proportional to 27,741.48, 41,612.53 and 8,020.21

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Solution

The fourth proportional to 27,741.48, 41,612.53 and 8,020.21 is: 12,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.48 : 41,612.53 = 8,020.21 : x
  2. Step 2: Convert to fraction form
    27,741.48/41,612.53 = 8,020.21/x
  3. Step 3: Cross multiply
    27,741.48x = 41,612.53 × 8,020.21
  4. Step 4: Simplify right side
    27,741.48x = 333,741,229.23
  5. Step 5: Solve for x
    x = 333,741,229.23/27,741.48
  6. Step 6: Final answer
    x = 12,030.40

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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.