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Finding the Fourth Proportional to 109,969.20, 164,944.20 and 36,097.20

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Solution

The fourth proportional to 109,969.20, 164,944.20 and 36,097.20 is: 54,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.20 : 164,944.20 = 36,097.20 : x
  2. Step 2: Convert to fraction form
    109,969.20/164,944.20 = 36,097.20/x
  3. Step 3: Cross multiply
    109,969.20x = 164,944.20 × 36,097.20
  4. Step 4: Simplify right side
    109,969.20x = 5,954,023,776.24
  5. Step 5: Solve for x
    x = 5,954,023,776.24/109,969.20
  6. Step 6: Final answer
    x = 54,142.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.