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Finding the Fourth Proportional to 34,142.24, 47,125.20 and 22,238.24

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Solution

The fourth proportional to 34,142.24, 47,125.20 and 22,238.24 is: 30,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142.24 : 47,125.20 = 22,238.24 : x
  2. Step 2: Convert to fraction form
    34,142.24/47,125.20 = 22,238.24/x
  3. Step 3: Cross multiply
    34,142.24x = 47,125.20 × 22,238.24
  4. Step 4: Simplify right side
    34,142.24x = 1,047,981,507.65
  5. Step 5: Solve for x
    x = 1,047,981,507.65/34,142.24
  6. Step 6: Final answer
    x = 30,694.57

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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.