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Finding the Fourth Proportional to 31,209.68, 46,812.69 and 9,022.57

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Solution

The fourth proportional to 31,209.68, 46,812.69 and 9,022.57 is: 13,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.68 : 46,812.69 = 9,022.57 : x
  2. Step 2: Convert to fraction form
    31,209.68/46,812.69 = 9,022.57/x
  3. Step 3: Cross multiply
    31,209.68x = 46,812.69 × 9,022.57
  4. Step 4: Simplify right side
    31,209.68x = 422,370,772.41
  5. Step 5: Solve for x
    x = 422,370,772.41/31,209.68
  6. Step 6: Final answer
    x = 13,533.33

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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.