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Finding the Fourth Proportional to 53,888.14, 74,365.74 and 31,231.54

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Solution

The fourth proportional to 53,888.14, 74,365.74 and 31,231.54 is: 43,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,888.14 : 74,365.74 = 31,231.54 : x
  2. Step 2: Convert to fraction form
    53,888.14/74,365.74 = 31,231.54/x
  3. Step 3: Cross multiply
    53,888.14x = 74,365.74 × 31,231.54
  4. Step 4: Simplify right side
    53,888.14x = 2,322,556,583.44
  5. Step 5: Solve for x
    x = 2,322,556,583.44/53,888.14
  6. Step 6: Final answer
    x = 43,099.59

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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.