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Finding the Fourth Proportional to 78,202.13, 117,319.61 and 33,835.19

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Solution

The fourth proportional to 78,202.13, 117,319.61 and 33,835.19 is: 50,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.13 : 117,319.61 = 33,835.19 : x
  2. Step 2: Convert to fraction form
    78,202.13/117,319.61 = 33,835.19/x
  3. Step 3: Cross multiply
    78,202.13x = 117,319.61 × 33,835.19
  4. Step 4: Simplify right side
    78,202.13x = 3,969,531,419.20
  5. Step 5: Solve for x
    x = 3,969,531,419.20/78,202.13
  6. Step 6: Final answer
    x = 50,759.89

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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.