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Finding the Fourth Proportional to 33,642.71, 50,471.88 and 11,456.28

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Solution

The fourth proportional to 33,642.71, 50,471.88 and 11,456.28 is: 17,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.71 : 50,471.88 = 11,456.28 : x
  2. Step 2: Convert to fraction form
    33,642.71/50,471.88 = 11,456.28/x
  3. Step 3: Cross multiply
    33,642.71x = 50,471.88 × 11,456.28
  4. Step 4: Simplify right side
    33,642.71x = 578,219,694.09
  5. Step 5: Solve for x
    x = 578,219,694.09/33,642.71
  6. Step 6: Final answer
    x = 17,187.07

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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.