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Finding the Fourth Proportional to 26,920.32, 40,380.52 and 8,200.32

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Solution

The fourth proportional to 26,920.32, 40,380.52 and 8,200.32 is: 12,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920.32 : 40,380.52 = 8,200.32 : x
  2. Step 2: Convert to fraction form
    26,920.32/40,380.52 = 8,200.32/x
  3. Step 3: Cross multiply
    26,920.32x = 40,380.52 × 8,200.32
  4. Step 4: Simplify right side
    26,920.32x = 331,133,185.77
  5. Step 5: Solve for x
    x = 331,133,185.77/26,920.32
  6. Step 6: Final answer
    x = 12,300.49

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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.