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Finding the Fourth Proportional to 20,492.46, 30,738.72 and 5,701.39

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Solution

The fourth proportional to 20,492.46, 30,738.72 and 5,701.39 is: 8,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.46 : 30,738.72 = 5,701.39 : x
  2. Step 2: Convert to fraction form
    20,492.46/30,738.72 = 5,701.39/x
  3. Step 3: Cross multiply
    20,492.46x = 30,738.72 × 5,701.39
  4. Step 4: Simplify right side
    20,492.46x = 175,253,375.35
  5. Step 5: Solve for x
    x = 175,253,375.35/20,492.46
  6. Step 6: Final answer
    x = 8,552.09

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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.