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Finding the Fourth Proportional to 84,568.80, 116,651.84 and 54,393.33

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Solution

The fourth proportional to 84,568.80, 116,651.84 and 54,393.33 is: 75,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,568.80 : 116,651.84 = 54,393.33 : x
  2. Step 2: Convert to fraction form
    84,568.80/116,651.84 = 54,393.33/x
  3. Step 3: Cross multiply
    84,568.80x = 116,651.84 × 54,393.33
  4. Step 4: Simplify right side
    84,568.80x = 6,345,081,756.26
  5. Step 5: Solve for x
    x = 6,345,081,756.26/84,568.80
  6. Step 6: Final answer
    x = 75,028.64

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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.