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Finding the Fourth Proportional to 78,316.84, 117,524.68 and 33,338.14

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Solution

The fourth proportional to 78,316.84, 117,524.68 and 33,338.14 is: 50,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,316.84 : 117,524.68 = 33,338.14 : x
  2. Step 2: Convert to fraction form
    78,316.84/117,524.68 = 33,338.14/x
  3. Step 3: Cross multiply
    78,316.84x = 117,524.68 × 33,338.14
  4. Step 4: Simplify right side
    78,316.84x = 3,918,054,235.30
  5. Step 5: Solve for x
    x = 3,918,054,235.30/78,316.84
  6. Step 6: Final answer
    x = 50,028.25

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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.