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Finding the Fourth Proportional to 27,729.71, 41,588.44 and 8,003.98

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Solution

The fourth proportional to 27,729.71, 41,588.44 and 8,003.98 is: 12,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729.71 : 41,588.44 = 8,003.98 : x
  2. Step 2: Convert to fraction form
    27,729.71/41,588.44 = 8,003.98/x
  3. Step 3: Cross multiply
    27,729.71x = 41,588.44 × 8,003.98
  4. Step 4: Simplify right side
    27,729.71x = 332,873,041.99
  5. Step 5: Solve for x
    x = 332,873,041.99/27,729.71
  6. Step 6: Final answer
    x = 12,004.20

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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.