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Finding the Fourth Proportional to 69,770.34, 96,282.41 and 37,939.50

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Solution

The fourth proportional to 69,770.34, 96,282.41 and 37,939.50 is: 52,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,770.34 : 96,282.41 = 37,939.50 : x
  2. Step 2: Convert to fraction form
    69,770.34/96,282.41 = 37,939.50/x
  3. Step 3: Cross multiply
    69,770.34x = 96,282.41 × 37,939.50
  4. Step 4: Simplify right side
    69,770.34x = 3,652,906,304.50
  5. Step 5: Solve for x
    x = 3,652,906,304.50/69,770.34
  6. Step 6: Final answer
    x = 52,356.15

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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.