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Finding the Fourth Proportional to 31,207.70, 46,806.94 and 11,481.65

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Solution

The fourth proportional to 31,207.70, 46,806.94 and 11,481.65 is: 17,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.70 : 46,806.94 = 11,481.65 : x
  2. Step 2: Convert to fraction form
    31,207.70/46,806.94 = 11,481.65/x
  3. Step 3: Cross multiply
    31,207.70x = 46,806.94 × 11,481.65
  4. Step 4: Simplify right side
    31,207.70x = 537,420,639.91
  5. Step 5: Solve for x
    x = 537,420,639.91/31,207.70
  6. Step 6: Final answer
    x = 17,220.77

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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.