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Finding the Fourth Proportional to 31,982.60, 47,974.02 and 9,795.89

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Solution

The fourth proportional to 31,982.60, 47,974.02 and 9,795.89 is: 14,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982.60 : 47,974.02 = 9,795.89 : x
  2. Step 2: Convert to fraction form
    31,982.60/47,974.02 = 9,795.89/x
  3. Step 3: Cross multiply
    31,982.60x = 47,974.02 × 9,795.89
  4. Step 4: Simplify right side
    31,982.60x = 469,947,982.91
  5. Step 5: Solve for x
    x = 469,947,982.91/31,982.60
  6. Step 6: Final answer
    x = 14,693.87

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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.