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Finding the Fourth Proportional to 31,274.98, 43,164.51 and 17,846.80

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Solution

The fourth proportional to 31,274.98, 43,164.51 and 17,846.80 is: 24,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.98 : 43,164.51 = 17,846.80 : x
  2. Step 2: Convert to fraction form
    31,274.98/43,164.51 = 17,846.80/x
  3. Step 3: Cross multiply
    31,274.98x = 43,164.51 × 17,846.80
  4. Step 4: Simplify right side
    31,274.98x = 770,348,377.07
  5. Step 5: Solve for x
    x = 770,348,377.07/31,274.98
  6. Step 6: Final answer
    x = 24,631.46

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