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Finding the Fourth Proportional to 31,205.29, 46,793.73 and 9,013.39

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Solution

The fourth proportional to 31,205.29, 46,793.73 and 9,013.39 is: 13,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.29 : 46,793.73 = 9,013.39 : x
  2. Step 2: Convert to fraction form
    31,205.29/46,793.73 = 9,013.39/x
  3. Step 3: Cross multiply
    31,205.29x = 46,793.73 × 9,013.39
  4. Step 4: Simplify right side
    31,205.29x = 421,770,138.04
  5. Step 5: Solve for x
    x = 421,770,138.04/31,205.29
  6. Step 6: Final answer
    x = 13,515.98

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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.