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Finding the Fourth Proportional to 100,836.32, 151,268.52 and 44,672

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Solution

The fourth proportional to 100,836.32, 151,268.52 and 44,672 is: 67,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,836.32 : 151,268.52 = 44,672 : x
  2. Step 2: Convert to fraction form
    100,836.32/151,268.52 = 44,672/x
  3. Step 3: Cross multiply
    100,836.32x = 151,268.52 × 44,672
  4. Step 4: Simplify right side
    100,836.32x = 6,757,467,325.44
  5. Step 5: Solve for x
    x = 6,757,467,325.44/100,836.32
  6. Step 6: Final answer
    x = 67,014.22

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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.