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Finding the Fourth Proportional to 30,999.16, 42,787.74 and 23,067.64

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Solution

The fourth proportional to 30,999.16, 42,787.74 and 23,067.64 is: 31,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.16 : 42,787.74 = 23,067.64 : x
  2. Step 2: Convert to fraction form
    30,999.16/42,787.74 = 23,067.64/x
  3. Step 3: Cross multiply
    30,999.16x = 42,787.74 × 23,067.64
  4. Step 4: Simplify right side
    30,999.16x = 987,012,182.73
  5. Step 5: Solve for x
    x = 987,012,182.73/30,999.16
  6. Step 6: Final answer
    x = 31,839.97

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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.