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Finding the Fourth Proportional to 31,209.26, 46,813.98 and 9,024.44

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Solution

The fourth proportional to 31,209.26, 46,813.98 and 9,024.44 is: 13,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.26 : 46,813.98 = 9,024.44 : x
  2. Step 2: Convert to fraction form
    31,209.26/46,813.98 = 9,024.44/x
  3. Step 3: Cross multiply
    31,209.26x = 46,813.98 × 9,024.44
  4. Step 4: Simplify right side
    31,209.26x = 422,469,953.67
  5. Step 5: Solve for x
    x = 422,469,953.67/31,209.26
  6. Step 6: Final answer
    x = 13,536.69

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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.