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Finding the Fourth Proportional to 30,819.56, 46,201.69 and 11,084.32

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Solution

The fourth proportional to 30,819.56, 46,201.69 and 11,084.32 is: 16,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.56 : 46,201.69 = 11,084.32 : x
  2. Step 2: Convert to fraction form
    30,819.56/46,201.69 = 11,084.32/x
  3. Step 3: Cross multiply
    30,819.56x = 46,201.69 × 11,084.32
  4. Step 4: Simplify right side
    30,819.56x = 512,114,316.50
  5. Step 5: Solve for x
    x = 512,114,316.50/30,819.56
  6. Step 6: Final answer
    x = 16,616.54

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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.