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Finding the Fourth Proportional to 109,540.50, 164,311.11 and 26,434.50

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Solution

The fourth proportional to 109,540.50, 164,311.11 and 26,434.50 is: 39,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540.50 : 164,311.11 = 26,434.50 : x
  2. Step 2: Convert to fraction form
    109,540.50/164,311.11 = 26,434.50/x
  3. Step 3: Cross multiply
    109,540.50x = 164,311.11 × 26,434.50
  4. Step 4: Simplify right side
    109,540.50x = 4,343,482,037.30
  5. Step 5: Solve for x
    x = 4,343,482,037.30/109,540.50
  6. Step 6: Final answer
    x = 39,651.84

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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.