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Finding the Fourth Proportional to 30,189.84, 41,662.56 and 16,761.66

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Solution

The fourth proportional to 30,189.84, 41,662.56 and 16,761.66 is: 23,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.84 : 41,662.56 = 16,761.66 : x
  2. Step 2: Convert to fraction form
    30,189.84/41,662.56 = 16,761.66/x
  3. Step 3: Cross multiply
    30,189.84x = 41,662.56 × 16,761.66
  4. Step 4: Simplify right side
    30,189.84x = 698,333,665.45
  5. Step 5: Solve for x
    x = 698,333,665.45/30,189.84
  6. Step 6: Final answer
    x = 23,131.41

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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.