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Finding the Fourth Proportional to 33,702, 50,558.94 and 11,510.18

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Solution

The fourth proportional to 33,702, 50,558.94 and 11,510.18 is: 17,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702 : 50,558.94 = 11,510.18 : x
  2. Step 2: Convert to fraction form
    33,702/50,558.94 = 11,510.18/x
  3. Step 3: Cross multiply
    33,702x = 50,558.94 × 11,510.18
  4. Step 4: Simplify right side
    33,702x = 581,942,247.21
  5. Step 5: Solve for x
    x = 581,942,247.21/33,702
  6. Step 6: Final answer
    x = 17,267.29

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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.