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Finding the Fourth Proportional to 70,213.06, 105,297.72 and 23,455

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Solution

The fourth proportional to 70,213.06, 105,297.72 and 23,455 is: 35,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,213.06 : 105,297.72 = 23,455 : x
  2. Step 2: Convert to fraction form
    70,213.06/105,297.72 = 23,455/x
  3. Step 3: Cross multiply
    70,213.06x = 105,297.72 × 23,455
  4. Step 4: Simplify right side
    70,213.06x = 2,469,758,022.60
  5. Step 5: Solve for x
    x = 2,469,758,022.60/70,213.06
  6. Step 6: Final answer
    x = 35,175.19

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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.