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Finding the Fourth Proportional to 33,462.72, 50,194.38 and 10,973.07

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Solution

The fourth proportional to 33,462.72, 50,194.38 and 10,973.07 is: 16,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462.72 : 50,194.38 = 10,973.07 : x
  2. Step 2: Convert to fraction form
    33,462.72/50,194.38 = 10,973.07/x
  3. Step 3: Cross multiply
    33,462.72x = 50,194.38 × 10,973.07
  4. Step 4: Simplify right side
    33,462.72x = 550,786,486.50
  5. Step 5: Solve for x
    x = 550,786,486.50/33,462.72
  6. Step 6: Final answer
    x = 16,459.70

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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.