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Finding the Fourth Proportional to 31,679.50, 47,520.84 and 9,490.76

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Solution

The fourth proportional to 31,679.50, 47,520.84 and 9,490.76 is: 14,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.50 : 47,520.84 = 9,490.76 : x
  2. Step 2: Convert to fraction form
    31,679.50/47,520.84 = 9,490.76/x
  3. Step 3: Cross multiply
    31,679.50x = 47,520.84 × 9,490.76
  4. Step 4: Simplify right side
    31,679.50x = 451,008,887.44
  5. Step 5: Solve for x
    x = 451,008,887.44/31,679.50
  6. Step 6: Final answer
    x = 14,236.62

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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.