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Finding the Fourth Proportional to 33,142.71, 49,689.23 and 19,992

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Solution

The fourth proportional to 33,142.71, 49,689.23 and 19,992 is: 29,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.71 : 49,689.23 = 19,992 : x
  2. Step 2: Convert to fraction form
    33,142.71/49,689.23 = 19,992/x
  3. Step 3: Cross multiply
    33,142.71x = 49,689.23 × 19,992
  4. Step 4: Simplify right side
    33,142.71x = 993,387,086.16
  5. Step 5: Solve for x
    x = 993,387,086.16/33,142.71
  6. Step 6: Final answer
    x = 29,973.02

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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.