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Finding the Fourth Proportional to 103,275.14, 154,919.74 and 33,150.20

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Solution

The fourth proportional to 103,275.14, 154,919.74 and 33,150.20 is: 49,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,275.14 : 154,919.74 = 33,150.20 : x
  2. Step 2: Convert to fraction form
    103,275.14/154,919.74 = 33,150.20/x
  3. Step 3: Cross multiply
    103,275.14x = 154,919.74 × 33,150.20
  4. Step 4: Simplify right side
    103,275.14x = 5,135,620,364.95
  5. Step 5: Solve for x
    x = 5,135,620,364.95/103,275.14
  6. Step 6: Final answer
    x = 49,727.56

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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.