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Finding the Fourth Proportional to 31,922.48, 47,883.70 and 8,548.32

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Solution

The fourth proportional to 31,922.48, 47,883.70 and 8,548.32 is: 12,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.48 : 47,883.70 = 8,548.32 : x
  2. Step 2: Convert to fraction form
    31,922.48/47,883.70 = 8,548.32/x
  3. Step 3: Cross multiply
    31,922.48x = 47,883.70 × 8,548.32
  4. Step 4: Simplify right side
    31,922.48x = 409,325,190.38
  5. Step 5: Solve for x
    x = 409,325,190.38/31,922.48
  6. Step 6: Final answer
    x = 12,822.47

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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.