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Finding the Fourth Proportional to 100,701.36, 151,068.36 and 33,213.24

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Solution

The fourth proportional to 100,701.36, 151,068.36 and 33,213.24 is: 49,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.36 : 151,068.36 = 33,213.24 : x
  2. Step 2: Convert to fraction form
    100,701.36/151,068.36 = 33,213.24/x
  3. Step 3: Cross multiply
    100,701.36x = 151,068.36 × 33,213.24
  4. Step 4: Simplify right side
    100,701.36x = 5,017,469,697.09
  5. Step 5: Solve for x
    x = 5,017,469,697.09/100,701.36
  6. Step 6: Final answer
    x = 49,825.24

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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.