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Finding the Fourth Proportional to 76,701.56, 105,855.30 and 44,868.44

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Solution

The fourth proportional to 76,701.56, 105,855.30 and 44,868.44 is: 61,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,701.56 : 105,855.30 = 44,868.44 : x
  2. Step 2: Convert to fraction form
    76,701.56/105,855.30 = 44,868.44/x
  3. Step 3: Cross multiply
    76,701.56x = 105,855.30 × 44,868.44
  4. Step 4: Simplify right side
    76,701.56x = 4,749,562,176.73
  5. Step 5: Solve for x
    x = 4,749,562,176.73/76,701.56
  6. Step 6: Final answer
    x = 61,922.63

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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.