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Finding the Fourth Proportional to 71,734.96, 107,580.56 and 57,661.60

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Solution

The fourth proportional to 71,734.96, 107,580.56 and 57,661.60 is: 86,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734.96 : 107,580.56 = 57,661.60 : x
  2. Step 2: Convert to fraction form
    71,734.96/107,580.56 = 57,661.60/x
  3. Step 3: Cross multiply
    71,734.96x = 107,580.56 × 57,661.60
  4. Step 4: Simplify right side
    71,734.96x = 6,203,267,218.50
  5. Step 5: Solve for x
    x = 6,203,267,218.50/71,734.96
  6. Step 6: Final answer
    x = 86,474.81

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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.