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Finding the Fourth Proportional to 55,481.72, 83,234.90 and 16,035.84

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Solution

The fourth proportional to 55,481.72, 83,234.90 and 16,035.84 is: 24,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,481.72 : 83,234.90 = 16,035.84 : x
  2. Step 2: Convert to fraction form
    55,481.72/83,234.90 = 16,035.84/x
  3. Step 3: Cross multiply
    55,481.72x = 83,234.90 × 16,035.84
  4. Step 4: Simplify right side
    55,481.72x = 1,334,741,538.82
  5. Step 5: Solve for x
    x = 1,334,741,538.82/55,481.72
  6. Step 6: Final answer
    x = 24,057.32

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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.