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Finding the Fourth Proportional to 20,832.25, 31,241.93 and 6,042.25

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Solution

The fourth proportional to 20,832.25, 31,241.93 and 6,042.25 is: 9,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832.25 : 31,241.93 = 6,042.25 : x
  2. Step 2: Convert to fraction form
    20,832.25/31,241.93 = 6,042.25/x
  3. Step 3: Cross multiply
    20,832.25x = 31,241.93 × 6,042.25
  4. Step 4: Simplify right side
    20,832.25x = 188,771,551.54
  5. Step 5: Solve for x
    x = 188,771,551.54/20,832.25
  6. Step 6: Final answer
    x = 9,061.51

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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.