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Finding the Fourth Proportional to 27,422.76, 37,806.81 and 21,776.20

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Solution

The fourth proportional to 27,422.76, 37,806.81 and 21,776.20 is: 30,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.76 : 37,806.81 = 21,776.20 : x
  2. Step 2: Convert to fraction form
    27,422.76/37,806.81 = 21,776.20/x
  3. Step 3: Cross multiply
    27,422.76x = 37,806.81 × 21,776.20
  4. Step 4: Simplify right side
    27,422.76x = 823,288,561.40
  5. Step 5: Solve for x
    x = 823,288,561.40/27,422.76
  6. Step 6: Final answer
    x = 30,022.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.