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Finding the Fourth Proportional to 70,212.94, 105,297.53 and 23,454.88

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Solution

The fourth proportional to 70,212.94, 105,297.53 and 23,454.88 is: 35,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,212.94 : 105,297.53 = 23,454.88 : x
  2. Step 2: Convert to fraction form
    70,212.94/105,297.53 = 23,454.88/x
  3. Step 3: Cross multiply
    70,212.94x = 105,297.53 × 23,454.88
  4. Step 4: Simplify right side
    70,212.94x = 2,469,740,286.68
  5. Step 5: Solve for x
    x = 2,469,740,286.68/70,212.94
  6. Step 6: Final answer
    x = 35,175.00

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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.