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Finding the Fourth Proportional to 57,204.90, 85,815.45 and 17,757.90

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Solution

The fourth proportional to 57,204.90, 85,815.45 and 17,757.90 is: 26,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204.90 : 85,815.45 = 17,757.90 : x
  2. Step 2: Convert to fraction form
    57,204.90/85,815.45 = 17,757.90/x
  3. Step 3: Cross multiply
    57,204.90x = 85,815.45 × 17,757.90
  4. Step 4: Simplify right side
    57,204.90x = 1,523,902,179.56
  5. Step 5: Solve for x
    x = 1,523,902,179.56/57,204.90
  6. Step 6: Final answer
    x = 26,639.36

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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.