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Finding the Fourth Proportional to 30,142.53, 41,617.19 and 18,829.26

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Solution

The fourth proportional to 30,142.53, 41,617.19 and 18,829.26 is: 25,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.53 : 41,617.19 = 18,829.26 : x
  2. Step 2: Convert to fraction form
    30,142.53/41,617.19 = 18,829.26/x
  3. Step 3: Cross multiply
    30,142.53x = 41,617.19 × 18,829.26
  4. Step 4: Simplify right side
    30,142.53x = 783,620,938.05
  5. Step 5: Solve for x
    x = 783,620,938.05/30,142.53
  6. Step 6: Final answer
    x = 25,997.19

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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.