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Finding the Fourth Proportional to 51,873, 71,589.60 and 29,517

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Solution

The fourth proportional to 51,873, 71,589.60 and 29,517 is: 40,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,873 : 71,589.60 = 29,517 : x
  2. Step 2: Convert to fraction form
    51,873/71,589.60 = 29,517/x
  3. Step 3: Cross multiply
    51,873x = 71,589.60 × 29,517
  4. Step 4: Simplify right side
    51,873x = 2,113,110,223.20
  5. Step 5: Solve for x
    x = 2,113,110,223.20/51,873
  6. Step 6: Final answer
    x = 40,736.23

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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.