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Finding the Fourth Proportional to 33,769, 50,659.44 and 11,584.72

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Solution

The fourth proportional to 33,769, 50,659.44 and 11,584.72 is: 17,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,769 : 50,659.44 = 11,584.72 : x
  2. Step 2: Convert to fraction form
    33,769/50,659.44 = 11,584.72/x
  3. Step 3: Cross multiply
    33,769x = 50,659.44 × 11,584.72
  4. Step 4: Simplify right side
    33,769x = 586,875,427.76
  5. Step 5: Solve for x
    x = 586,875,427.76/33,769
  6. Step 6: Final answer
    x = 17,379.12

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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.