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Finding the Fourth Proportional to 27,422.40, 38,443.20 and 27,422.40

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Solution

The fourth proportional to 27,422.40, 38,443.20 and 27,422.40 is: 38,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.40 : 38,443.20 = 27,422.40 : x
  2. Step 2: Convert to fraction form
    27,422.40/38,443.20 = 27,422.40/x
  3. Step 3: Cross multiply
    27,422.40x = 38,443.20 × 27,422.40
  4. Step 4: Simplify right side
    27,422.40x = 1,054,204,807.68
  5. Step 5: Solve for x
    x = 1,054,204,807.68/27,422.40
  6. Step 6: Final answer
    x = 38,443.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.