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Finding the Fourth Proportional to 31,401.60, 43,334.20 and 17,255.36

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Solution

The fourth proportional to 31,401.60, 43,334.20 and 17,255.36 is: 23,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401.60 : 43,334.20 = 17,255.36 : x
  2. Step 2: Convert to fraction form
    31,401.60/43,334.20 = 17,255.36/x
  3. Step 3: Cross multiply
    31,401.60x = 43,334.20 × 17,255.36
  4. Step 4: Simplify right side
    31,401.60x = 747,747,221.31
  5. Step 5: Solve for x
    x = 747,747,221.31/31,401.60
  6. Step 6: Final answer
    x = 23,812.39

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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.