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Finding the Fourth Proportional to 78,249.74, 117,305.34 and 33,852.26

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Solution

The fourth proportional to 78,249.74, 117,305.34 and 33,852.26 is: 50,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,249.74 : 117,305.34 = 33,852.26 : x
  2. Step 2: Convert to fraction form
    78,249.74/117,305.34 = 33,852.26/x
  3. Step 3: Cross multiply
    78,249.74x = 117,305.34 × 33,852.26
  4. Step 4: Simplify right side
    78,249.74x = 3,971,050,282.54
  5. Step 5: Solve for x
    x = 3,971,050,282.54/78,249.74
  6. Step 6: Final answer
    x = 50,748.42

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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.