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Finding the Fourth Proportional to 69,542.80, 95,969.12 and 37,711.69

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Solution

The fourth proportional to 69,542.80, 95,969.12 and 37,711.69 is: 52,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,542.80 : 95,969.12 = 37,711.69 : x
  2. Step 2: Convert to fraction form
    69,542.80/95,969.12 = 37,711.69/x
  3. Step 3: Cross multiply
    69,542.80x = 95,969.12 × 37,711.69
  4. Step 4: Simplify right side
    69,542.80x = 3,619,158,026.49
  5. Step 5: Solve for x
    x = 3,619,158,026.49/69,542.80
  6. Step 6: Final answer
    x = 52,042.16

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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.