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Finding the Fourth Proportional to 69,659.88, 96,131.84 and 37,828.78

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Solution

The fourth proportional to 69,659.88, 96,131.84 and 37,828.78 is: 52,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,659.88 : 96,131.84 = 37,828.78 : x
  2. Step 2: Convert to fraction form
    69,659.88/96,131.84 = 37,828.78/x
  3. Step 3: Cross multiply
    69,659.88x = 96,131.84 × 37,828.78
  4. Step 4: Simplify right side
    69,659.88x = 3,636,550,157.38
  5. Step 5: Solve for x
    x = 3,636,550,157.38/69,659.88
  6. Step 6: Final answer
    x = 52,204.37

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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.