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Finding the Fourth Proportional to 27,873.44, 41,777.76 and 13,839.92

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Solution

The fourth proportional to 27,873.44, 41,777.76 and 13,839.92 is: 20,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.44 : 41,777.76 = 13,839.92 : x
  2. Step 2: Convert to fraction form
    27,873.44/41,777.76 = 13,839.92/x
  3. Step 3: Cross multiply
    27,873.44x = 41,777.76 × 13,839.92
  4. Step 4: Simplify right side
    27,873.44x = 578,200,856.18
  5. Step 5: Solve for x
    x = 578,200,856.18/27,873.44
  6. Step 6: Final answer
    x = 20,743.79

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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.