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Finding the Fourth Proportional to 31,342.06, 47,013.20 and 7,968.50

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Solution

The fourth proportional to 31,342.06, 47,013.20 and 7,968.50 is: 11,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.06 : 47,013.20 = 7,968.50 : x
  2. Step 2: Convert to fraction form
    31,342.06/47,013.20 = 7,968.50/x
  3. Step 3: Cross multiply
    31,342.06x = 47,013.20 × 7,968.50
  4. Step 4: Simplify right side
    31,342.06x = 374,624,684.20
  5. Step 5: Solve for x
    x = 374,624,684.20/31,342.06
  6. Step 6: Final answer
    x = 11,952.78

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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.