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Finding the Fourth Proportional to 75,843.12, 113,765.18 and 33,713.28

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Solution

The fourth proportional to 75,843.12, 113,765.18 and 33,713.28 is: 50,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.12 : 113,765.18 = 33,713.28 : x
  2. Step 2: Convert to fraction form
    75,843.12/113,765.18 = 33,713.28/x
  3. Step 3: Cross multiply
    75,843.12x = 113,765.18 × 33,713.28
  4. Step 4: Simplify right side
    75,843.12x = 3,835,397,367.59
  5. Step 5: Solve for x
    x = 3,835,397,367.59/75,843.12
  6. Step 6: Final answer
    x = 50,570.14

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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.