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Finding the Fourth Proportional to 50,193.54, 69,297.12 and 31,356.18

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Solution

The fourth proportional to 50,193.54, 69,297.12 and 31,356.18 is: 43,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,193.54 : 69,297.12 = 31,356.18 : x
  2. Step 2: Convert to fraction form
    50,193.54/69,297.12 = 31,356.18/x
  3. Step 3: Cross multiply
    50,193.54x = 69,297.12 × 31,356.18
  4. Step 4: Simplify right side
    50,193.54x = 2,172,892,968.20
  5. Step 5: Solve for x
    x = 2,172,892,968.20/50,193.54
  6. Step 6: Final answer
    x = 43,290.29

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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.