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Finding the Fourth Proportional to 57,786.60, 86,679.90 and 46,122.60

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Solution

The fourth proportional to 57,786.60, 86,679.90 and 46,122.60 is: 69,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786.60 : 86,679.90 = 46,122.60 : x
  2. Step 2: Convert to fraction form
    57,786.60/86,679.90 = 46,122.60/x
  3. Step 3: Cross multiply
    57,786.60x = 86,679.90 × 46,122.60
  4. Step 4: Simplify right side
    57,786.60x = 3,997,902,355.74
  5. Step 5: Solve for x
    x = 3,997,902,355.74/57,786.60
  6. Step 6: Final answer
    x = 69,183.90

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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.