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Finding the Fourth Proportional to 33,141.76, 49,705.44 and 10,949.88

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Solution

The fourth proportional to 33,141.76, 49,705.44 and 10,949.88 is: 16,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.76 : 49,705.44 = 10,949.88 : x
  2. Step 2: Convert to fraction form
    33,141.76/49,705.44 = 10,949.88/x
  3. Step 3: Cross multiply
    33,141.76x = 49,705.44 × 10,949.88
  4. Step 4: Simplify right side
    33,141.76x = 544,268,603.35
  5. Step 5: Solve for x
    x = 544,268,603.35/33,141.76
  6. Step 6: Final answer
    x = 16,422.44

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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.