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Finding the Fourth Proportional to 65,067.81, 89,758.94 and 39,581.97

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Solution

The fourth proportional to 65,067.81, 89,758.94 and 39,581.97 is: 54,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,067.81 : 89,758.94 = 39,581.97 : x
  2. Step 2: Convert to fraction form
    65,067.81/89,758.94 = 39,581.97/x
  3. Step 3: Cross multiply
    65,067.81x = 89,758.94 × 39,581.97
  4. Step 4: Simplify right side
    65,067.81x = 3,552,835,135.81
  5. Step 5: Solve for x
    x = 3,552,835,135.81/65,067.81
  6. Step 6: Final answer
    x = 54,602.04

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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.