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Finding the Fourth Proportional to 30,169.45, 41,646.42 and 18,229.80

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Solution

The fourth proportional to 30,169.45, 41,646.42 and 18,229.80 is: 25,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.45 : 41,646.42 = 18,229.80 : x
  2. Step 2: Convert to fraction form
    30,169.45/41,646.42 = 18,229.80/x
  3. Step 3: Cross multiply
    30,169.45x = 41,646.42 × 18,229.80
  4. Step 4: Simplify right side
    30,169.45x = 759,205,907.32
  5. Step 5: Solve for x
    x = 759,205,907.32/30,169.45
  6. Step 6: Final answer
    x = 25,164.72

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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.