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Finding the Fourth Proportional to 31,681.44, 47,521.62 and 9,494.46

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Solution

The fourth proportional to 31,681.44, 47,521.62 and 9,494.46 is: 14,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.44 : 47,521.62 = 9,494.46 : x
  2. Step 2: Convert to fraction form
    31,681.44/47,521.62 = 9,494.46/x
  3. Step 3: Cross multiply
    31,681.44x = 47,521.62 × 9,494.46
  4. Step 4: Simplify right side
    31,681.44x = 451,192,120.23
  5. Step 5: Solve for x
    x = 451,192,120.23/31,681.44
  6. Step 6: Final answer
    x = 14,241.53

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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.