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Finding the Fourth Proportional to 26,742.78, 40,113.45 and 8,022.78

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Solution

The fourth proportional to 26,742.78, 40,113.45 and 8,022.78 is: 12,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742.78 : 40,113.45 = 8,022.78 : x
  2. Step 2: Convert to fraction form
    26,742.78/40,113.45 = 8,022.78/x
  3. Step 3: Cross multiply
    26,742.78x = 40,113.45 × 8,022.78
  4. Step 4: Simplify right side
    26,742.78x = 321,821,384.39
  5. Step 5: Solve for x
    x = 321,821,384.39/26,742.78
  6. Step 6: Final answer
    x = 12,033.95

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1.5x scale

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.