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Finding the Fourth Proportional to 76,578.70, 105,682.72 and 44,766.22

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Solution

The fourth proportional to 76,578.70, 105,682.72 and 44,766.22 is: 61,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.70 : 105,682.72 = 44,766.22 : x
  2. Step 2: Convert to fraction form
    76,578.70/105,682.72 = 44,766.22/x
  3. Step 3: Cross multiply
    76,578.70x = 105,682.72 × 44,766.22
  4. Step 4: Simplify right side
    76,578.70x = 4,731,015,893.72
  5. Step 5: Solve for x
    x = 4,731,015,893.72/76,578.70
  6. Step 6: Final answer
    x = 61,779.79

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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.