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Finding the Fourth Proportional to 57,175.41, 85,771.41 and 17,735.70

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Solution

The fourth proportional to 57,175.41, 85,771.41 and 17,735.70 is: 26,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,175.41 : 85,771.41 = 17,735.70 : x
  2. Step 2: Convert to fraction form
    57,175.41/85,771.41 = 17,735.70/x
  3. Step 3: Cross multiply
    57,175.41x = 85,771.41 × 17,735.70
  4. Step 4: Simplify right side
    57,175.41x = 1,521,215,996.34
  5. Step 5: Solve for x
    x = 1,521,215,996.34/57,175.41
  6. Step 6: Final answer
    x = 26,606.12

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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.