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Finding the Fourth Proportional to 31,713.40, 47,540.40 and 12,005.20

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Solution

The fourth proportional to 31,713.40, 47,540.40 and 12,005.20 is: 17,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.40 : 47,540.40 = 12,005.20 : x
  2. Step 2: Convert to fraction form
    31,713.40/47,540.40 = 12,005.20/x
  3. Step 3: Cross multiply
    31,713.40x = 47,540.40 × 12,005.20
  4. Step 4: Simplify right side
    31,713.40x = 570,732,010.08
  5. Step 5: Solve for x
    x = 570,732,010.08/31,713.40
  6. Step 6: Final answer
    x = 17,996.56

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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.