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Finding the Fourth Proportional to 31,447.58, 47,172.54 and 9,260.96

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Solution

The fourth proportional to 31,447.58, 47,172.54 and 9,260.96 is: 13,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.58 : 47,172.54 = 9,260.96 : x
  2. Step 2: Convert to fraction form
    31,447.58/47,172.54 = 9,260.96/x
  3. Step 3: Cross multiply
    31,447.58x = 47,172.54 × 9,260.96
  4. Step 4: Simplify right side
    31,447.58x = 436,863,006.04
  5. Step 5: Solve for x
    x = 436,863,006.04/31,447.58
  6. Step 6: Final answer
    x = 13,891.78

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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.