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Finding the Fourth Proportional to 31,103.40, 46,654.02 and 10,326.36

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Solution

The fourth proportional to 31,103.40, 46,654.02 and 10,326.36 is: 15,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.40 : 46,654.02 = 10,326.36 : x
  2. Step 2: Convert to fraction form
    31,103.40/46,654.02 = 10,326.36/x
  3. Step 3: Cross multiply
    31,103.40x = 46,654.02 × 10,326.36
  4. Step 4: Simplify right side
    31,103.40x = 481,766,205.97
  5. Step 5: Solve for x
    x = 481,766,205.97/31,103.40
  6. Step 6: Final answer
    x = 15,489.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.