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Finding the Fourth Proportional to 57,735.08, 86,608.14 and 16,181.96

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Solution

The fourth proportional to 57,735.08, 86,608.14 and 16,181.96 is: 24,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,735.08 : 86,608.14 = 16,181.96 : x
  2. Step 2: Convert to fraction form
    57,735.08/86,608.14 = 16,181.96/x
  3. Step 3: Cross multiply
    57,735.08x = 86,608.14 × 16,181.96
  4. Step 4: Simplify right side
    57,735.08x = 1,401,489,457.15
  5. Step 5: Solve for x
    x = 1,401,489,457.15/57,735.08
  6. Step 6: Final answer
    x = 24,274.49

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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.