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Finding the Fourth Proportional to 29,784.86, 41,074.22 and 20,115.58

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Solution

The fourth proportional to 29,784.86, 41,074.22 and 20,115.58 is: 27,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.86 : 41,074.22 = 20,115.58 : x
  2. Step 2: Convert to fraction form
    29,784.86/41,074.22 = 20,115.58/x
  3. Step 3: Cross multiply
    29,784.86x = 41,074.22 × 20,115.58
  4. Step 4: Simplify right side
    29,784.86x = 826,231,758.35
  5. Step 5: Solve for x
    x = 826,231,758.35/29,784.86
  6. Step 6: Final answer
    x = 27,739.99

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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.