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Finding the Fourth Proportional to 31,446.96, 47,173.20 and 8,073.36

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Solution

The fourth proportional to 31,446.96, 47,173.20 and 8,073.36 is: 12,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.96 : 47,173.20 = 8,073.36 : x
  2. Step 2: Convert to fraction form
    31,446.96/47,173.20 = 8,073.36/x
  3. Step 3: Cross multiply
    31,446.96x = 47,173.20 × 8,073.36
  4. Step 4: Simplify right side
    31,446.96x = 380,846,225.95
  5. Step 5: Solve for x
    x = 380,846,225.95/31,446.96
  6. Step 6: Final answer
    x = 12,110.75

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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.