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Finding the Fourth Proportional to 76,806.85, 105,993.21 and 44,969.40

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Solution

The fourth proportional to 76,806.85, 105,993.21 and 44,969.40 is: 62,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806.85 : 105,993.21 = 44,969.40 : x
  2. Step 2: Convert to fraction form
    76,806.85/105,993.21 = 44,969.40/x
  3. Step 3: Cross multiply
    76,806.85x = 105,993.21 × 44,969.40
  4. Step 4: Simplify right side
    76,806.85x = 4,766,451,057.77
  5. Step 5: Solve for x
    x = 4,766,451,057.77/76,806.85
  6. Step 6: Final answer
    x = 62,057.63

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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.