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Finding the Fourth Proportional to 29,733.90, 41,034.68 and 19,644.64

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Solution

The fourth proportional to 29,733.90, 41,034.68 and 19,644.64 is: 27,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,733.90 : 41,034.68 = 19,644.64 : x
  2. Step 2: Convert to fraction form
    29,733.90/41,034.68 = 19,644.64/x
  3. Step 3: Cross multiply
    29,733.90x = 41,034.68 × 19,644.64
  4. Step 4: Simplify right side
    29,733.90x = 806,111,516.12
  5. Step 5: Solve for x
    x = 806,111,516.12/29,733.90
  6. Step 6: Final answer
    x = 27,110.86

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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.