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Finding the Fourth Proportional to 49,583.63, 74,375.45 and 12,647.63

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Solution

The fourth proportional to 49,583.63, 74,375.45 and 12,647.63 is: 18,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583.63 : 74,375.45 = 12,647.63 : x
  2. Step 2: Convert to fraction form
    49,583.63/74,375.45 = 12,647.63/x
  3. Step 3: Cross multiply
    49,583.63x = 74,375.45 × 12,647.63
  4. Step 4: Simplify right side
    49,583.63x = 940,672,737.57
  5. Step 5: Solve for x
    x = 940,672,737.57/49,583.63
  6. Step 6: Final answer
    x = 18,971.44

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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.