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Finding the Fourth Proportional to 33,645.77, 50,476.46 and 11,459.33

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Solution

The fourth proportional to 33,645.77, 50,476.46 and 11,459.33 is: 17,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.77 : 50,476.46 = 11,459.33 : x
  2. Step 2: Convert to fraction form
    33,645.77/50,476.46 = 11,459.33/x
  3. Step 3: Cross multiply
    33,645.77x = 50,476.46 × 11,459.33
  4. Step 4: Simplify right side
    33,645.77x = 578,426,481.27
  5. Step 5: Solve for x
    x = 578,426,481.27/33,645.77
  6. Step 6: Final answer
    x = 17,191.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.