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Finding the Fourth Proportional to 71,067.94, 98,082.36 and 40,448.48

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Solution

The fourth proportional to 71,067.94, 98,082.36 and 40,448.48 is: 55,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067.94 : 98,082.36 = 40,448.48 : x
  2. Step 2: Convert to fraction form
    71,067.94/98,082.36 = 40,448.48/x
  3. Step 3: Cross multiply
    71,067.94x = 98,082.36 × 40,448.48
  4. Step 4: Simplify right side
    71,067.94x = 3,967,282,398.29
  5. Step 5: Solve for x
    x = 3,967,282,398.29/71,067.94
  6. Step 6: Final answer
    x = 55,823.80

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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.