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Finding the Fourth Proportional to 38,662.65, 53,380.16 and 29,694.13

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Solution

The fourth proportional to 38,662.65, 53,380.16 and 29,694.13 is: 40,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.65 : 53,380.16 = 29,694.13 : x
  2. Step 2: Convert to fraction form
    38,662.65/53,380.16 = 29,694.13/x
  3. Step 3: Cross multiply
    38,662.65x = 53,380.16 × 29,694.13
  4. Step 4: Simplify right side
    38,662.65x = 1,585,077,410.46
  5. Step 5: Solve for x
    x = 1,585,077,410.46/38,662.65
  6. Step 6: Final answer
    x = 40,997.64

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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.