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Finding the Fourth Proportional to 31,213.88, 46,813.84 and 9,022.32

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Solution

The fourth proportional to 31,213.88, 46,813.84 and 9,022.32 is: 13,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.88 : 46,813.84 = 9,022.32 : x
  2. Step 2: Convert to fraction form
    31,213.88/46,813.84 = 9,022.32/x
  3. Step 3: Cross multiply
    31,213.88x = 46,813.84 × 9,022.32
  4. Step 4: Simplify right side
    31,213.88x = 422,369,444.91
  5. Step 5: Solve for x
    x = 422,369,444.91/31,213.88
  6. Step 6: Final answer
    x = 13,531.46

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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.