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Finding the Fourth Proportional to 27,741.21, 41,605.73 and 8,015.48

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Solution

The fourth proportional to 27,741.21, 41,605.73 and 8,015.48 is: 12,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.21 : 41,605.73 = 8,015.48 : x
  2. Step 2: Convert to fraction form
    27,741.21/41,605.73 = 8,015.48/x
  3. Step 3: Cross multiply
    27,741.21x = 41,605.73 × 8,015.48
  4. Step 4: Simplify right side
    27,741.21x = 333,489,648.59
  5. Step 5: Solve for x
    x = 333,489,648.59/27,741.21
  6. Step 6: Final answer
    x = 12,021.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.