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Finding the Fourth Proportional to 33,433, 46,138.98 and 18,529

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Solution

The fourth proportional to 33,433, 46,138.98 and 18,529 is: 25,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,433 : 46,138.98 = 18,529 : x
  2. Step 2: Convert to fraction form
    33,433/46,138.98 = 18,529/x
  3. Step 3: Cross multiply
    33,433x = 46,138.98 × 18,529
  4. Step 4: Simplify right side
    33,433x = 854,909,160.42
  5. Step 5: Solve for x
    x = 854,909,160.42/33,433
  6. Step 6: Final answer
    x = 25,570.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.