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Finding the Fourth Proportional to 33,976.32, 50,974.80 and 10,602.96

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Solution

The fourth proportional to 33,976.32, 50,974.80 and 10,602.96 is: 15,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,976.32 : 50,974.80 = 10,602.96 : x
  2. Step 2: Convert to fraction form
    33,976.32/50,974.80 = 10,602.96/x
  3. Step 3: Cross multiply
    33,976.32x = 50,974.80 × 10,602.96
  4. Step 4: Simplify right side
    33,976.32x = 540,483,765.41
  5. Step 5: Solve for x
    x = 540,483,765.41/33,976.32
  6. Step 6: Final answer
    x = 15,907.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.