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Finding the Fourth Proportional to 82,716.80, 114,147.72 and 44,990.84

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Solution

The fourth proportional to 82,716.80, 114,147.72 and 44,990.84 is: 62,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,716.80 : 114,147.72 = 44,990.84 : x
  2. Step 2: Convert to fraction form
    82,716.80/114,147.72 = 44,990.84/x
  3. Step 3: Cross multiply
    82,716.80x = 114,147.72 × 44,990.84
  4. Step 4: Simplify right side
    82,716.80x = 5,135,601,806.88
  5. Step 5: Solve for x
    x = 5,135,601,806.88/82,716.80
  6. Step 6: Final answer
    x = 62,086.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.