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Finding the Fourth Proportional to 57,204, 85,705.92 and 39,684.96

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Solution

The fourth proportional to 57,204, 85,705.92 and 39,684.96 is: 59,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204 : 85,705.92 = 39,684.96 : x
  2. Step 2: Convert to fraction form
    57,204/85,705.92 = 39,684.96/x
  3. Step 3: Cross multiply
    57,204x = 85,705.92 × 39,684.96
  4. Step 4: Simplify right side
    57,204x = 3,401,236,006.96
  5. Step 5: Solve for x
    x = 3,401,236,006.96/57,204
  6. Step 6: Final answer
    x = 59,458.01

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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.