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Finding the Fourth Proportional to 78,057.30, 107,716.77 and 44,067

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Solution

The fourth proportional to 78,057.30, 107,716.77 and 44,067 is: 60,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.30 : 107,716.77 = 44,067 : x
  2. Step 2: Convert to fraction form
    78,057.30/107,716.77 = 44,067/x
  3. Step 3: Cross multiply
    78,057.30x = 107,716.77 × 44,067
  4. Step 4: Simplify right side
    78,057.30x = 4,746,754,903.59
  5. Step 5: Solve for x
    x = 4,746,754,903.59/78,057.30
  6. Step 6: Final answer
    x = 60,811.16

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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.