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Finding the Fourth Proportional to 73,796.52, 101,838.96 and 40,262.52

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Solution

The fourth proportional to 73,796.52, 101,838.96 and 40,262.52 is: 55,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,796.52 : 101,838.96 = 40,262.52 : x
  2. Step 2: Convert to fraction form
    73,796.52/101,838.96 = 40,262.52/x
  3. Step 3: Cross multiply
    73,796.52x = 101,838.96 × 40,262.52
  4. Step 4: Simplify right side
    73,796.52x = 4,100,293,163.78
  5. Step 5: Solve for x
    x = 4,100,293,163.78/73,796.52
  6. Step 6: Final answer
    x = 55,562.15

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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.