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Finding the Fourth Proportional to 57,764.60, 86,719.80 and 31,131.80

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Solution

The fourth proportional to 57,764.60, 86,719.80 and 31,131.80 is: 46,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764.60 : 86,719.80 = 31,131.80 : x
  2. Step 2: Convert to fraction form
    57,764.60/86,719.80 = 31,131.80/x
  3. Step 3: Cross multiply
    57,764.60x = 86,719.80 × 31,131.80
  4. Step 4: Simplify right side
    57,764.60x = 2,699,743,469.64
  5. Step 5: Solve for x
    x = 2,699,743,469.64/57,764.60
  6. Step 6: Final answer
    x = 46,736.99

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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.