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Finding the Fourth Proportional to 97,734.54, 146,620.38 and 33,675.68

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Solution

The fourth proportional to 97,734.54, 146,620.38 and 33,675.68 is: 50,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,734.54 : 146,620.38 = 33,675.68 : x
  2. Step 2: Convert to fraction form
    97,734.54/146,620.38 = 33,675.68/x
  3. Step 3: Cross multiply
    97,734.54x = 146,620.38 × 33,675.68
  4. Step 4: Simplify right side
    97,734.54x = 4,937,540,998.36
  5. Step 5: Solve for x
    x = 4,937,540,998.36/97,734.54
  6. Step 6: Final answer
    x = 50,519.92

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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.