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Finding the Fourth Proportional to 31,642.69, 43,677.90 and 18,219.29

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Solution

The fourth proportional to 31,642.69, 43,677.90 and 18,219.29 is: 25,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.69 : 43,677.90 = 18,219.29 : x
  2. Step 2: Convert to fraction form
    31,642.69/43,677.90 = 18,219.29/x
  3. Step 3: Cross multiply
    31,642.69x = 43,677.90 × 18,219.29
  4. Step 4: Simplify right side
    31,642.69x = 795,780,326.69
  5. Step 5: Solve for x
    x = 795,780,326.69/31,642.69
  6. Step 6: Final answer
    x = 25,148.95

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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.