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Finding the Fourth Proportional to 33,678.58, 50,517.30 and 11,507.46

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Solution

The fourth proportional to 33,678.58, 50,517.30 and 11,507.46 is: 17,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678.58 : 50,517.30 = 11,507.46 : x
  2. Step 2: Convert to fraction form
    33,678.58/50,517.30 = 11,507.46/x
  3. Step 3: Cross multiply
    33,678.58x = 50,517.30 × 11,507.46
  4. Step 4: Simplify right side
    33,678.58x = 581,325,809.06
  5. Step 5: Solve for x
    x = 581,325,809.06/33,678.58
  6. Step 6: Final answer
    x = 17,261.00

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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.