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Finding the Fourth Proportional to 53,791.44, 74,231.34 and 29,915.16

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Solution

The fourth proportional to 53,791.44, 74,231.34 and 29,915.16 is: 41,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,791.44 : 74,231.34 = 29,915.16 : x
  2. Step 2: Convert to fraction form
    53,791.44/74,231.34 = 29,915.16/x
  3. Step 3: Cross multiply
    53,791.44x = 74,231.34 × 29,915.16
  4. Step 4: Simplify right side
    53,791.44x = 2,220,642,413.11
  5. Step 5: Solve for x
    x = 2,220,642,413.11/53,791.44
  6. Step 6: Final answer
    x = 41,282.45

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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.