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Finding the Fourth Proportional to 36,511.60, 54,725.30 and 16,499.50

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Solution

The fourth proportional to 36,511.60, 54,725.30 and 16,499.50 is: 24,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,511.60 : 54,725.30 = 16,499.50 : x
  2. Step 2: Convert to fraction form
    36,511.60/54,725.30 = 16,499.50/x
  3. Step 3: Cross multiply
    36,511.60x = 54,725.30 × 16,499.50
  4. Step 4: Simplify right side
    36,511.60x = 902,940,087.35
  5. Step 5: Solve for x
    x = 902,940,087.35/36,511.60
  6. Step 6: Final answer
    x = 24,730.23

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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.