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Finding the Fourth Proportional to 57,838.97, 86,716.54 and 39,072.08

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Solution

The fourth proportional to 57,838.97, 86,716.54 and 39,072.08 is: 58,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,838.97 : 86,716.54 = 39,072.08 : x
  2. Step 2: Convert to fraction form
    57,838.97/86,716.54 = 39,072.08/x
  3. Step 3: Cross multiply
    57,838.97x = 86,716.54 × 39,072.08
  4. Step 4: Simplify right side
    57,838.97x = 3,388,195,853.83
  5. Step 5: Solve for x
    x = 3,388,195,853.83/57,838.97
  6. Step 6: Final answer
    x = 58,579.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.