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Finding the Fourth Proportional to 31,922.80, 47,884.14 and 8,548.60

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Solution

The fourth proportional to 31,922.80, 47,884.14 and 8,548.60 is: 12,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.80 : 47,884.14 = 8,548.60 : x
  2. Step 2: Convert to fraction form
    31,922.80/47,884.14 = 8,548.60/x
  3. Step 3: Cross multiply
    31,922.80x = 47,884.14 × 8,548.60
  4. Step 4: Simplify right side
    31,922.80x = 409,342,359.20
  5. Step 5: Solve for x
    x = 409,342,359.20/31,922.80
  6. Step 6: Final answer
    x = 12,822.88

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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.