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Finding the Fourth Proportional to 33,446, 50,192.04 and 11,558

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Solution

The fourth proportional to 33,446, 50,192.04 and 11,558 is: 17,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,446 : 50,192.04 = 11,558 : x
  2. Step 2: Convert to fraction form
    33,446/50,192.04 = 11,558/x
  3. Step 3: Cross multiply
    33,446x = 50,192.04 × 11,558
  4. Step 4: Simplify right side
    33,446x = 580,119,598.32
  5. Step 5: Solve for x
    x = 580,119,598.32/33,446
  6. Step 6: Final answer
    x = 17,344.96

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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.