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Finding the Fourth Proportional to 30,180, 45,185.64 and 22,761.24

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Solution

The fourth proportional to 30,180, 45,185.64 and 22,761.24 is: 34,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180 : 45,185.64 = 22,761.24 : x
  2. Step 2: Convert to fraction form
    30,180/45,185.64 = 22,761.24/x
  3. Step 3: Cross multiply
    30,180x = 45,185.64 × 22,761.24
  4. Step 4: Simplify right side
    30,180x = 1,028,481,196.59
  5. Step 5: Solve for x
    x = 1,028,481,196.59/30,180
  6. Step 6: Final answer
    x = 34,078.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.