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Finding the Fourth Proportional to 41,523.27, 57,303.36 and 23,614.98

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Solution

The fourth proportional to 41,523.27, 57,303.36 and 23,614.98 is: 32,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523.27 : 57,303.36 = 23,614.98 : x
  2. Step 2: Convert to fraction form
    41,523.27/57,303.36 = 23,614.98/x
  3. Step 3: Cross multiply
    41,523.27x = 57,303.36 × 23,614.98
  4. Step 4: Simplify right side
    41,523.27x = 1,353,217,700.33
  5. Step 5: Solve for x
    x = 1,353,217,700.33/41,523.27
  6. Step 6: Final answer
    x = 32,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.