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Finding the Fourth Proportional to 29,938.97, 44,912.03 and 12,165.83

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Solution

The fourth proportional to 29,938.97, 44,912.03 and 12,165.83 is: 18,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.97 : 44,912.03 = 12,165.83 : x
  2. Step 2: Convert to fraction form
    29,938.97/44,912.03 = 12,165.83/x
  3. Step 3: Cross multiply
    29,938.97x = 44,912.03 × 12,165.83
  4. Step 4: Simplify right side
    29,938.97x = 546,392,121.93
  5. Step 5: Solve for x
    x = 546,392,121.93/29,938.97
  6. Step 6: Final answer
    x = 18,250.20

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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.