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Finding the Fourth Proportional to 31,213.62, 46,813.41 and 9,022.05

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Solution

The fourth proportional to 31,213.62, 46,813.41 and 9,022.05 is: 13,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.62 : 46,813.41 = 9,022.05 : x
  2. Step 2: Convert to fraction form
    31,213.62/46,813.41 = 9,022.05/x
  3. Step 3: Cross multiply
    31,213.62x = 46,813.41 × 9,022.05
  4. Step 4: Simplify right side
    31,213.62x = 422,352,925.69
  5. Step 5: Solve for x
    x = 422,352,925.69/31,213.62
  6. Step 6: Final answer
    x = 13,531.05

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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.