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Finding the Fourth Proportional to 41,602, 57,410.76 and 22,739.20

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Solution

The fourth proportional to 41,602, 57,410.76 and 22,739.20 is: 31,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,602 : 57,410.76 = 22,739.20 : x
  2. Step 2: Convert to fraction form
    41,602/57,410.76 = 22,739.20/x
  3. Step 3: Cross multiply
    41,602x = 57,410.76 × 22,739.20
  4. Step 4: Simplify right side
    41,602x = 1,305,474,753.79
  5. Step 5: Solve for x
    x = 1,305,474,753.79/41,602
  6. Step 6: Final answer
    x = 31,380.10

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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.