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Finding the Fourth Proportional to 74,067.75, 102,213.70 and 40,533.75

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Solution

The fourth proportional to 74,067.75, 102,213.70 and 40,533.75 is: 55,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,067.75 : 102,213.70 = 40,533.75 : x
  2. Step 2: Convert to fraction form
    74,067.75/102,213.70 = 40,533.75/x
  3. Step 3: Cross multiply
    74,067.75x = 102,213.70 × 40,533.75
  4. Step 4: Simplify right side
    74,067.75x = 4,143,104,461.04
  5. Step 5: Solve for x
    x = 4,143,104,461.04/74,067.75
  6. Step 6: Final answer
    x = 55,936.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.