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Finding the Fourth Proportional to 29,322.54, 43,992 and 9,614.97

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Solution

The fourth proportional to 29,322.54, 43,992 and 9,614.97 is: 14,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,322.54 : 43,992 = 9,614.97 : x
  2. Step 2: Convert to fraction form
    29,322.54/43,992 = 9,614.97/x
  3. Step 3: Cross multiply
    29,322.54x = 43,992 × 9,614.97
  4. Step 4: Simplify right side
    29,322.54x = 422,981,760.24
  5. Step 5: Solve for x
    x = 422,981,760.24/29,322.54
  6. Step 6: Final answer
    x = 14,425.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.