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Finding the Fourth Proportional to 33,679.50, 50,526.54 and 12,903

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Solution

The fourth proportional to 33,679.50, 50,526.54 and 12,903 is: 19,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,679.50 : 50,526.54 = 12,903 : x
  2. Step 2: Convert to fraction form
    33,679.50/50,526.54 = 12,903/x
  3. Step 3: Cross multiply
    33,679.50x = 50,526.54 × 12,903
  4. Step 4: Simplify right side
    33,679.50x = 651,943,945.62
  5. Step 5: Solve for x
    x = 651,943,945.62/33,679.50
  6. Step 6: Final answer
    x = 19,357.29

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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.