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Finding the Fourth Proportional to 27,836.76, 38,392.38 and 24,472.44

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Solution

The fourth proportional to 27,836.76, 38,392.38 and 24,472.44 is: 33,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.76 : 38,392.38 = 24,472.44 : x
  2. Step 2: Convert to fraction form
    27,836.76/38,392.38 = 24,472.44/x
  3. Step 3: Cross multiply
    27,836.76x = 38,392.38 × 24,472.44
  4. Step 4: Simplify right side
    27,836.76x = 939,555,216.01
  5. Step 5: Solve for x
    x = 939,555,216.01/27,836.76
  6. Step 6: Final answer
    x = 33,752.32

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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.