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Finding the Fourth Proportional to 29,548.72, 40,766.92 and 18,944.20

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Solution

The fourth proportional to 29,548.72, 40,766.92 and 18,944.20 is: 26,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548.72 : 40,766.92 = 18,944.20 : x
  2. Step 2: Convert to fraction form
    29,548.72/40,766.92 = 18,944.20/x
  3. Step 3: Cross multiply
    29,548.72x = 40,766.92 × 18,944.20
  4. Step 4: Simplify right side
    29,548.72x = 772,296,685.86
  5. Step 5: Solve for x
    x = 772,296,685.86/29,548.72
  6. Step 6: Final answer
    x = 26,136.38

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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.