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Finding the Fourth Proportional to 38,662.86, 53,380.44 and 29,694.32

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Solution

The fourth proportional to 38,662.86, 53,380.44 and 29,694.32 is: 40,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.86 : 53,380.44 = 29,694.32 : x
  2. Step 2: Convert to fraction form
    38,662.86/53,380.44 = 29,694.32/x
  3. Step 3: Cross multiply
    38,662.86x = 53,380.44 × 29,694.32
  4. Step 4: Simplify right side
    38,662.86x = 1,585,095,867.10
  5. Step 5: Solve for x
    x = 1,585,095,867.10/38,662.86
  6. Step 6: Final answer
    x = 40,997.89

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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.