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Finding the Fourth Proportional to 73,786.50, 101,830.14 and 41,958.36

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Solution

The fourth proportional to 73,786.50, 101,830.14 and 41,958.36 is: 57,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,786.50 : 101,830.14 = 41,958.36 : x
  2. Step 2: Convert to fraction form
    73,786.50/101,830.14 = 41,958.36/x
  3. Step 3: Cross multiply
    73,786.50x = 101,830.14 × 41,958.36
  4. Step 4: Simplify right side
    73,786.50x = 4,272,625,672.97
  5. Step 5: Solve for x
    x = 4,272,625,672.97/73,786.50
  6. Step 6: Final answer
    x = 57,905.25

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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.