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Finding the Fourth Proportional to 70,276.44, 105,245.72 and 40,199.48

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Solution

The fourth proportional to 70,276.44, 105,245.72 and 40,199.48 is: 60,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,276.44 : 105,245.72 = 40,199.48 : x
  2. Step 2: Convert to fraction form
    70,276.44/105,245.72 = 40,199.48/x
  3. Step 3: Cross multiply
    70,276.44x = 105,245.72 × 40,199.48
  4. Step 4: Simplify right side
    70,276.44x = 4,230,823,216.23
  5. Step 5: Solve for x
    x = 4,230,823,216.23/70,276.44
  6. Step 6: Final answer
    x = 60,202.58

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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.