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Finding the Fourth Proportional to 31,478.70, 47,212.74 and 11,751.96

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Solution

The fourth proportional to 31,478.70, 47,212.74 and 11,751.96 is: 17,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.70 : 47,212.74 = 11,751.96 : x
  2. Step 2: Convert to fraction form
    31,478.70/47,212.74 = 11,751.96/x
  3. Step 3: Cross multiply
    31,478.70x = 47,212.74 × 11,751.96
  4. Step 4: Simplify right side
    31,478.70x = 554,842,231.97
  5. Step 5: Solve for x
    x = 554,842,231.97/31,478.70
  6. Step 6: Final answer
    x = 17,625.96

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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.