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Finding the Fourth Proportional to 31,773.30, 47,660.31 and 9,586.89

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Solution

The fourth proportional to 31,773.30, 47,660.31 and 9,586.89 is: 14,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.30 : 47,660.31 = 9,586.89 : x
  2. Step 2: Convert to fraction form
    31,773.30/47,660.31 = 9,586.89/x
  3. Step 3: Cross multiply
    31,773.30x = 47,660.31 × 9,586.89
  4. Step 4: Simplify right side
    31,773.30x = 456,914,149.34
  5. Step 5: Solve for x
    x = 456,914,149.34/31,773.30
  6. Step 6: Final answer
    x = 14,380.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.