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Finding the Fourth Proportional to 31,000.89, 42,781.05 and 16,853.43

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Solution

The fourth proportional to 31,000.89, 42,781.05 and 16,853.43 is: 23,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.89 : 42,781.05 = 16,853.43 : x
  2. Step 2: Convert to fraction form
    31,000.89/42,781.05 = 16,853.43/x
  3. Step 3: Cross multiply
    31,000.89x = 42,781.05 × 16,853.43
  4. Step 4: Simplify right side
    31,000.89x = 721,007,431.50
  5. Step 5: Solve for x
    x = 721,007,431.50/31,000.89
  6. Step 6: Final answer
    x = 23,257.64

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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.