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Finding the Fourth Proportional to 57,644.68, 86,466.16 and 35,161.96

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Solution

The fourth proportional to 57,644.68, 86,466.16 and 35,161.96 is: 52,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644.68 : 86,466.16 = 35,161.96 : x
  2. Step 2: Convert to fraction form
    57,644.68/86,466.16 = 35,161.96/x
  3. Step 3: Cross multiply
    57,644.68x = 86,466.16 × 35,161.96
  4. Step 4: Simplify right side
    57,644.68x = 3,040,319,659.27
  5. Step 5: Solve for x
    x = 3,040,319,659.27/57,644.68
  6. Step 6: Final answer
    x = 52,742.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.