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Finding the Fourth Proportional to 69,772.68, 96,286.26 and 37,941.48

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Solution

The fourth proportional to 69,772.68, 96,286.26 and 37,941.48 is: 52,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,772.68 : 96,286.26 = 37,941.48 : x
  2. Step 2: Convert to fraction form
    69,772.68/96,286.26 = 37,941.48/x
  3. Step 3: Cross multiply
    69,772.68x = 96,286.26 × 37,941.48
  4. Step 4: Simplify right side
    69,772.68x = 3,653,243,208.06
  5. Step 5: Solve for x
    x = 3,653,243,208.06/69,772.68
  6. Step 6: Final answer
    x = 52,359.22

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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.