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Finding the Fourth Proportional to 31,434.40, 47,145.84 and 12,713.44

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Solution

The fourth proportional to 31,434.40, 47,145.84 and 12,713.44 is: 19,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.40 : 47,145.84 = 12,713.44 : x
  2. Step 2: Convert to fraction form
    31,434.40/47,145.84 = 12,713.44/x
  3. Step 3: Cross multiply
    31,434.40x = 47,145.84 × 12,713.44
  4. Step 4: Simplify right side
    31,434.40x = 599,385,808.09
  5. Step 5: Solve for x
    x = 599,385,808.09/31,434.40
  6. Step 6: Final answer
    x = 19,067.83

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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.