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Finding the Fourth Proportional to 114,469.44, 171,728.48 and 35,581.76

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Solution

The fourth proportional to 114,469.44, 171,728.48 and 35,581.76 is: 53,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,469.44 : 171,728.48 = 35,581.76 : x
  2. Step 2: Convert to fraction form
    114,469.44/171,728.48 = 35,581.76/x
  3. Step 3: Cross multiply
    114,469.44x = 171,728.48 × 35,581.76
  4. Step 4: Simplify right side
    114,469.44x = 6,110,401,560.52
  5. Step 5: Solve for x
    x = 6,110,401,560.52/114,469.44
  6. Step 6: Final answer
    x = 53,380.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.