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Finding the Fourth Proportional to 29,732.90, 41,033.30 and 19,643.64

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Solution

The fourth proportional to 29,732.90, 41,033.30 and 19,643.64 is: 27,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732.90 : 41,033.30 = 19,643.64 : x
  2. Step 2: Convert to fraction form
    29,732.90/41,033.30 = 19,643.64/x
  3. Step 3: Cross multiply
    29,732.90x = 41,033.30 × 19,643.64
  4. Step 4: Simplify right side
    29,732.90x = 806,043,373.21
  5. Step 5: Solve for x
    x = 806,043,373.21/29,732.90
  6. Step 6: Final answer
    x = 27,109.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.