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Finding the Fourth Proportional to 33,122.40, 49,676.52 and 10,930.56

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Solution

The fourth proportional to 33,122.40, 49,676.52 and 10,930.56 is: 16,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.40 : 49,676.52 = 10,930.56 : x
  2. Step 2: Convert to fraction form
    33,122.40/49,676.52 = 10,930.56/x
  3. Step 3: Cross multiply
    33,122.40x = 49,676.52 × 10,930.56
  4. Step 4: Simplify right side
    33,122.40x = 542,992,182.45
  5. Step 5: Solve for x
    x = 542,992,182.45/33,122.40
  6. Step 6: Final answer
    x = 16,393.50

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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.