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Finding the Fourth Proportional to 41,068.80, 56,675 and 22,205.96

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Solution

The fourth proportional to 41,068.80, 56,675 and 22,205.96 is: 30,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,068.80 : 56,675 = 22,205.96 : x
  2. Step 2: Convert to fraction form
    41,068.80/56,675 = 22,205.96/x
  3. Step 3: Cross multiply
    41,068.80x = 56,675 × 22,205.96
  4. Step 4: Simplify right side
    41,068.80x = 1,258,522,783
  5. Step 5: Solve for x
    x = 1,258,522,783/41,068.80
  6. Step 6: Final answer
    x = 30,644.26

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