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Finding the Fourth Proportional to 31,206.27, 46,809.47 and 9,021.44

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Solution

The fourth proportional to 31,206.27, 46,809.47 and 9,021.44 is: 13,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.27 : 46,809.47 = 9,021.44 : x
  2. Step 2: Convert to fraction form
    31,206.27/46,809.47 = 9,021.44/x
  3. Step 3: Cross multiply
    31,206.27x = 46,809.47 × 9,021.44
  4. Step 4: Simplify right side
    31,206.27x = 422,288,545.88
  5. Step 5: Solve for x
    x = 422,288,545.88/31,206.27
  6. Step 6: Final answer
    x = 13,532.17

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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.