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Finding the Fourth Proportional to 69,770.66, 96,283.48 and 37,939.48

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Solution

The fourth proportional to 69,770.66, 96,283.48 and 37,939.48 is: 52,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,770.66 : 96,283.48 = 37,939.48 : x
  2. Step 2: Convert to fraction form
    69,770.66/96,283.48 = 37,939.48/x
  3. Step 3: Cross multiply
    69,770.66x = 96,283.48 × 37,939.48
  4. Step 4: Simplify right side
    69,770.66x = 3,652,945,163.79
  5. Step 5: Solve for x
    x = 3,652,945,163.79/69,770.66
  6. Step 6: Final answer
    x = 52,356.47

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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.