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Finding the Fourth Proportional to 31,170.72, 43,015.36 and 17,023.56

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Solution

The fourth proportional to 31,170.72, 43,015.36 and 17,023.56 is: 23,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.72 : 43,015.36 = 17,023.56 : x
  2. Step 2: Convert to fraction form
    31,170.72/43,015.36 = 17,023.56/x
  3. Step 3: Cross multiply
    31,170.72x = 43,015.36 × 17,023.56
  4. Step 4: Simplify right side
    31,170.72x = 732,274,561.88
  5. Step 5: Solve for x
    x = 732,274,561.88/31,170.72
  6. Step 6: Final answer
    x = 23,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.