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Finding the Fourth Proportional to 51,739.68, 71,418.24 and 33,615.20

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Solution

The fourth proportional to 51,739.68, 71,418.24 and 33,615.20 is: 46,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,739.68 : 71,418.24 = 33,615.20 : x
  2. Step 2: Convert to fraction form
    51,739.68/71,418.24 = 33,615.20/x
  3. Step 3: Cross multiply
    51,739.68x = 71,418.24 × 33,615.20
  4. Step 4: Simplify right side
    51,739.68x = 2,400,738,421.25
  5. Step 5: Solve for x
    x = 2,400,738,421.25/51,739.68
  6. Step 6: Final answer
    x = 46,400.33

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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.