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Finding the Fourth Proportional to 67,246, 100,859.92 and 27,797.64

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Solution

The fourth proportional to 67,246, 100,859.92 and 27,797.64 is: 41,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,246 : 100,859.92 = 27,797.64 : x
  2. Step 2: Convert to fraction form
    67,246/100,859.92 = 27,797.64/x
  3. Step 3: Cross multiply
    67,246x = 100,859.92 × 27,797.64
  4. Step 4: Simplify right side
    67,246x = 2,803,667,746.59
  5. Step 5: Solve for x
    x = 2,803,667,746.59/67,246
  6. Step 6: Final answer
    x = 41,692.71

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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.