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Finding the Fourth Proportional to 59,418.48, 81,979.92 and 33,924

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Solution

The fourth proportional to 59,418.48, 81,979.92 and 33,924 is: 46,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,418.48 : 81,979.92 = 33,924 : x
  2. Step 2: Convert to fraction form
    59,418.48/81,979.92 = 33,924/x
  3. Step 3: Cross multiply
    59,418.48x = 81,979.92 × 33,924
  4. Step 4: Simplify right side
    59,418.48x = 2,781,086,806.08
  5. Step 5: Solve for x
    x = 2,781,086,806.08/59,418.48
  6. Step 6: Final answer
    x = 46,805.08

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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.