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Finding the Fourth Proportional to 31,338, 43,245 and 18,769.68

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Solution

The fourth proportional to 31,338, 43,245 and 18,769.68 is: 25,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,338 : 43,245 = 18,769.68 : x
  2. Step 2: Convert to fraction form
    31,338/43,245 = 18,769.68/x
  3. Step 3: Cross multiply
    31,338x = 43,245 × 18,769.68
  4. Step 4: Simplify right side
    31,338x = 811,694,811.60
  5. Step 5: Solve for x
    x = 811,694,811.60/31,338
  6. Step 6: Final answer
    x = 25,901.30

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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.