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Finding the Fourth Proportional to 72,773.78, 100,422.24 and 40,936.52

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Solution

The fourth proportional to 72,773.78, 100,422.24 and 40,936.52 is: 56,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,773.78 : 100,422.24 = 40,936.52 : x
  2. Step 2: Convert to fraction form
    72,773.78/100,422.24 = 40,936.52/x
  3. Step 3: Cross multiply
    72,773.78x = 100,422.24 × 40,936.52
  4. Step 4: Simplify right side
    72,773.78x = 4,110,936,534.09
  5. Step 5: Solve for x
    x = 4,110,936,534.09/72,773.78
  6. Step 6: Final answer
    x = 56,489.26

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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.