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Finding the Fourth Proportional to 73,786.88, 101,825.71 and 40,252.88

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Solution

The fourth proportional to 73,786.88, 101,825.71 and 40,252.88 is: 55,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,786.88 : 101,825.71 = 40,252.88 : x
  2. Step 2: Convert to fraction form
    73,786.88/101,825.71 = 40,252.88/x
  3. Step 3: Cross multiply
    73,786.88x = 101,825.71 × 40,252.88
  4. Step 4: Simplify right side
    73,786.88x = 4,098,778,239.48
  5. Step 5: Solve for x
    x = 4,098,778,239.48/73,786.88
  6. Step 6: Final answer
    x = 55,548.87

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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.