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Finding the Fourth Proportional to 71,896.54, 107,845.50 and 19,306.03

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Solution

The fourth proportional to 71,896.54, 107,845.50 and 19,306.03 is: 28,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,896.54 : 107,845.50 = 19,306.03 : x
  2. Step 2: Convert to fraction form
    71,896.54/107,845.50 = 19,306.03/x
  3. Step 3: Cross multiply
    71,896.54x = 107,845.50 × 19,306.03
  4. Step 4: Simplify right side
    71,896.54x = 2,082,068,458.37
  5. Step 5: Solve for x
    x = 2,082,068,458.37/71,896.54
  6. Step 6: Final answer
    x = 28,959.23

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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.