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Finding the Fourth Proportional to 69,769.62, 96,284.61 and 39,967.38

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Solution

The fourth proportional to 69,769.62, 96,284.61 and 39,967.38 is: 55,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,769.62 : 96,284.61 = 39,967.38 : x
  2. Step 2: Convert to fraction form
    69,769.62/96,284.61 = 39,967.38/x
  3. Step 3: Cross multiply
    69,769.62x = 96,284.61 × 39,967.38
  4. Step 4: Simplify right side
    69,769.62x = 3,848,243,596.02
  5. Step 5: Solve for x
    x = 3,848,243,596.02/69,769.62
  6. Step 6: Final answer
    x = 55,156.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.