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Finding the Fourth Proportional to 78,316.85, 117,524.69 and 33,338.13

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Solution

The fourth proportional to 78,316.85, 117,524.69 and 33,338.13 is: 50,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316.85 : 117,524.69 = 33,338.13 : x
  2. Step 2: Convert to fraction form
    78,316.85/117,524.69 = 33,338.13/x
  3. Step 3: Cross multiply
    78,316.85x = 117,524.69 × 33,338.13
  4. Step 4: Simplify right side
    78,316.85x = 3,918,053,226.74
  5. Step 5: Solve for x
    x = 3,918,053,226.74/78,316.85
  6. Step 6: Final answer
    x = 50,028.23

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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.