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Finding the Fourth Proportional to 100,964.20, 151,464.32 and 33,500.28

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Solution

The fourth proportional to 100,964.20, 151,464.32 and 33,500.28 is: 50,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,964.20 : 151,464.32 = 33,500.28 : x
  2. Step 2: Convert to fraction form
    100,964.20/151,464.32 = 33,500.28/x
  3. Step 3: Cross multiply
    100,964.20x = 151,464.32 × 33,500.28
  4. Step 4: Simplify right side
    100,964.20x = 5,074,097,046.26
  5. Step 5: Solve for x
    x = 5,074,097,046.26/100,964.20
  6. Step 6: Final answer
    x = 50,256.40

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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.