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Finding the Fourth Proportional to 52,105.21, 78,157.58 and 12,662.39

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Solution

The fourth proportional to 52,105.21, 78,157.58 and 12,662.39 is: 18,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.21 : 78,157.58 = 12,662.39 : x
  2. Step 2: Convert to fraction form
    52,105.21/78,157.58 = 12,662.39/x
  3. Step 3: Cross multiply
    52,105.21x = 78,157.58 × 12,662.39
  4. Step 4: Simplify right side
    52,105.21x = 989,661,891.50
  5. Step 5: Solve for x
    x = 989,661,891.50/52,105.21
  6. Step 6: Final answer
    x = 18,993.53

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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.