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Finding the Fourth Proportional to 31,684, 43,723.92 and 18,436

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Solution

The fourth proportional to 31,684, 43,723.92 and 18,436 is: 25,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684 : 43,723.92 = 18,436 : x
  2. Step 2: Convert to fraction form
    31,684/43,723.92 = 18,436/x
  3. Step 3: Cross multiply
    31,684x = 43,723.92 × 18,436
  4. Step 4: Simplify right side
    31,684x = 806,094,189.12
  5. Step 5: Solve for x
    x = 806,094,189.12/31,684
  6. Step 6: Final answer
    x = 25,441.68

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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.