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Finding the Fourth Proportional to 31,677.98, 43,717.14 and 18,251.30

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Solution

The fourth proportional to 31,677.98, 43,717.14 and 18,251.30 is: 25,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.98 : 43,717.14 = 18,251.30 : x
  2. Step 2: Convert to fraction form
    31,677.98/43,717.14 = 18,251.30/x
  3. Step 3: Cross multiply
    31,677.98x = 43,717.14 × 18,251.30
  4. Step 4: Simplify right side
    31,677.98x = 797,894,637.28
  5. Step 5: Solve for x
    x = 797,894,637.28/31,677.98
  6. Step 6: Final answer
    x = 25,187.67

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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.