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Finding the Fourth Proportional to 53,074, 73,241.41 and 29,200.17

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Solution

The fourth proportional to 53,074, 73,241.41 and 29,200.17 is: 40,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,074 : 73,241.41 = 29,200.17 : x
  2. Step 2: Convert to fraction form
    53,074/73,241.41 = 29,200.17/x
  3. Step 3: Cross multiply
    53,074x = 73,241.41 × 29,200.17
  4. Step 4: Simplify right side
    53,074x = 2,138,661,623.04
  5. Step 5: Solve for x
    x = 2,138,661,623.04/53,074
  6. Step 6: Final answer
    x = 40,295.84

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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.