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Finding the Fourth Proportional to 47,696.54, 71,546.16 and 12,636.20

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Solution

The fourth proportional to 47,696.54, 71,546.16 and 12,636.20 is: 18,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.54 : 71,546.16 = 12,636.20 : x
  2. Step 2: Convert to fraction form
    47,696.54/71,546.16 = 12,636.20/x
  3. Step 3: Cross multiply
    47,696.54x = 71,546.16 × 12,636.20
  4. Step 4: Simplify right side
    47,696.54x = 904,071,229.26
  5. Step 5: Solve for x
    x = 904,071,229.26/47,696.54
  6. Step 6: Final answer
    x = 18,954.65

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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.