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Finding the Fourth Proportional to 53,474.72, 73,796.16 and 29,600.72

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Solution

The fourth proportional to 53,474.72, 73,796.16 and 29,600.72 is: 40,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474.72 : 73,796.16 = 29,600.72 : x
  2. Step 2: Convert to fraction form
    53,474.72/73,796.16 = 29,600.72/x
  3. Step 3: Cross multiply
    53,474.72x = 73,796.16 × 29,600.72
  4. Step 4: Simplify right side
    53,474.72x = 2,184,419,469.24
  5. Step 5: Solve for x
    x = 2,184,419,469.24/53,474.72
  6. Step 6: Final answer
    x = 40,849.57

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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.