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Finding the Fourth Proportional to 31,971.24, 47,951.06 and 8,592.21

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Solution

The fourth proportional to 31,971.24, 47,951.06 and 8,592.21 is: 12,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971.24 : 47,951.06 = 8,592.21 : x
  2. Step 2: Convert to fraction form
    31,971.24/47,951.06 = 8,592.21/x
  3. Step 3: Cross multiply
    31,971.24x = 47,951.06 × 8,592.21
  4. Step 4: Simplify right side
    31,971.24x = 412,005,534.28
  5. Step 5: Solve for x
    x = 412,005,534.28/31,971.24
  6. Step 6: Final answer
    x = 12,886.75

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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.