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Finding the Fourth Proportional to 29,784.65, 41,073.89 and 20,115.34

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Solution

The fourth proportional to 29,784.65, 41,073.89 and 20,115.34 is: 27,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.65 : 41,073.89 = 20,115.34 : x
  2. Step 2: Convert to fraction form
    29,784.65/41,073.89 = 20,115.34/x
  3. Step 3: Cross multiply
    29,784.65x = 41,073.89 × 20,115.34
  4. Step 4: Simplify right side
    29,784.65x = 826,215,059.21
  5. Step 5: Solve for x
    x = 826,215,059.21/29,784.65
  6. Step 6: Final answer
    x = 27,739.63

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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.