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Finding the Fourth Proportional to 33,774.93, 50,663.43 and 11,588

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Solution

The fourth proportional to 33,774.93, 50,663.43 and 11,588 is: 17,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.93 : 50,663.43 = 11,588 : x
  2. Step 2: Convert to fraction form
    33,774.93/50,663.43 = 11,588/x
  3. Step 3: Cross multiply
    33,774.93x = 50,663.43 × 11,588
  4. Step 4: Simplify right side
    33,774.93x = 587,087,826.84
  5. Step 5: Solve for x
    x = 587,087,826.84/33,774.93
  6. Step 6: Final answer
    x = 17,382.36

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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.