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Finding the Fourth Proportional to 31,282.98, 43,170.47 and 17,858.45

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Solution

The fourth proportional to 31,282.98, 43,170.47 and 17,858.45 is: 24,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.98 : 43,170.47 = 17,858.45 : x
  2. Step 2: Convert to fraction form
    31,282.98/43,170.47 = 17,858.45/x
  3. Step 3: Cross multiply
    31,282.98x = 43,170.47 × 17,858.45
  4. Step 4: Simplify right side
    31,282.98x = 770,957,644.16
  5. Step 5: Solve for x
    x = 770,957,644.16/31,282.98
  6. Step 6: Final answer
    x = 24,644.63

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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.