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Finding the Fourth Proportional to 68,020.56, 102,033.12 and 23,647.70

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Solution

The fourth proportional to 68,020.56, 102,033.12 and 23,647.70 is: 35,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,020.56 : 102,033.12 = 23,647.70 : x
  2. Step 2: Convert to fraction form
    68,020.56/102,033.12 = 23,647.70/x
  3. Step 3: Cross multiply
    68,020.56x = 102,033.12 × 23,647.70
  4. Step 4: Simplify right side
    68,020.56x = 2,412,848,248.63
  5. Step 5: Solve for x
    x = 2,412,848,248.63/68,020.56
  6. Step 6: Final answer
    x = 35,472.34

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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.