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Finding the Fourth Proportional to 31,006.58, 42,789.21 and 18,431.42

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Solution

The fourth proportional to 31,006.58, 42,789.21 and 18,431.42 is: 25,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.58 : 42,789.21 = 18,431.42 : x
  2. Step 2: Convert to fraction form
    31,006.58/42,789.21 = 18,431.42/x
  3. Step 3: Cross multiply
    31,006.58x = 42,789.21 × 18,431.42
  4. Step 4: Simplify right side
    31,006.58x = 788,665,900.98
  5. Step 5: Solve for x
    x = 788,665,900.98/31,006.58
  6. Step 6: Final answer
    x = 25,435.44

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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.