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Finding the Fourth Proportional to 33,653.01, 50,489.37 and 9,961.17

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Solution

The fourth proportional to 33,653.01, 50,489.37 and 9,961.17 is: 14,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653.01 : 50,489.37 = 9,961.17 : x
  2. Step 2: Convert to fraction form
    33,653.01/50,489.37 = 9,961.17/x
  3. Step 3: Cross multiply
    33,653.01x = 50,489.37 × 9,961.17
  4. Step 4: Simplify right side
    33,653.01x = 502,933,197.76
  5. Step 5: Solve for x
    x = 502,933,197.76/33,653.01
  6. Step 6: Final answer
    x = 14,944.67

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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.