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Finding the Fourth Proportional to 57,522.96, 86,383.44 and 31,278.96

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Solution

The fourth proportional to 57,522.96, 86,383.44 and 31,278.96 is: 46,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,522.96 : 86,383.44 = 31,278.96 : x
  2. Step 2: Convert to fraction form
    57,522.96/86,383.44 = 31,278.96/x
  3. Step 3: Cross multiply
    57,522.96x = 86,383.44 × 31,278.96
  4. Step 4: Simplify right side
    57,522.96x = 2,701,984,164.42
  5. Step 5: Solve for x
    x = 2,701,984,164.42/57,522.96
  6. Step 6: Final answer
    x = 46,972.27

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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.