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Finding the Fourth Proportional to 31,427.80, 43,390.50 and 19,508.68

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Solution

The fourth proportional to 31,427.80, 43,390.50 and 19,508.68 is: 26,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,427.80 : 43,390.50 = 19,508.68 : x
  2. Step 2: Convert to fraction form
    31,427.80/43,390.50 = 19,508.68/x
  3. Step 3: Cross multiply
    31,427.80x = 43,390.50 × 19,508.68
  4. Step 4: Simplify right side
    31,427.80x = 846,491,379.54
  5. Step 5: Solve for x
    x = 846,491,379.54/31,427.80
  6. Step 6: Final answer
    x = 26,934.48

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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.