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Finding the Fourth Proportional to 47,171.16, 65,097.42 and 25,662.24

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Solution

The fourth proportional to 47,171.16, 65,097.42 and 25,662.24 is: 35,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,171.16 : 65,097.42 = 25,662.24 : x
  2. Step 2: Convert to fraction form
    47,171.16/65,097.42 = 25,662.24/x
  3. Step 3: Cross multiply
    47,171.16x = 65,097.42 × 25,662.24
  4. Step 4: Simplify right side
    47,171.16x = 1,670,545,846.62
  5. Step 5: Solve for x
    x = 1,670,545,846.62/47,171.16
  6. Step 6: Final answer
    x = 35,414.56

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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.