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Finding the Fourth Proportional to 59,616, 82,287.36 and 39,744

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Solution

The fourth proportional to 59,616, 82,287.36 and 39,744 is: 54,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,616 : 82,287.36 = 39,744 : x
  2. Step 2: Convert to fraction form
    59,616/82,287.36 = 39,744/x
  3. Step 3: Cross multiply
    59,616x = 82,287.36 × 39,744
  4. Step 4: Simplify right side
    59,616x = 3,270,428,835.84
  5. Step 5: Solve for x
    x = 3,270,428,835.84/59,616
  6. Step 6: Final answer
    x = 54,858.24

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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.