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Finding the Fourth Proportional to 109,445.82, 164,173.64 and 33,538.78

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Solution

The fourth proportional to 109,445.82, 164,173.64 and 33,538.78 is: 50,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,445.82 : 164,173.64 = 33,538.78 : x
  2. Step 2: Convert to fraction form
    109,445.82/164,173.64 = 33,538.78/x
  3. Step 3: Cross multiply
    109,445.82x = 164,173.64 × 33,538.78
  4. Step 4: Simplify right side
    109,445.82x = 5,506,183,593.76
  5. Step 5: Solve for x
    x = 5,506,183,593.76/109,445.82
  6. Step 6: Final answer
    x = 50,309.67

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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.