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Finding the Fourth Proportional to 69,688.36, 96,169.41 and 37,857.49

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Solution

The fourth proportional to 69,688.36, 96,169.41 and 37,857.49 is: 52,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,688.36 : 96,169.41 = 37,857.49 : x
  2. Step 2: Convert to fraction form
    69,688.36/96,169.41 = 37,857.49/x
  3. Step 3: Cross multiply
    69,688.36x = 96,169.41 × 37,857.49
  4. Step 4: Simplify right side
    69,688.36x = 3,640,732,236.96
  5. Step 5: Solve for x
    x = 3,640,732,236.96/69,688.36
  6. Step 6: Final answer
    x = 52,243.05

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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.