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Finding the Fourth Proportional to 77,577.75, 107,057.30 and 44,043.75

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Solution

The fourth proportional to 77,577.75, 107,057.30 and 44,043.75 is: 60,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,577.75 : 107,057.30 = 44,043.75 : x
  2. Step 2: Convert to fraction form
    77,577.75/107,057.30 = 44,043.75/x
  3. Step 3: Cross multiply
    77,577.75x = 107,057.30 × 44,043.75
  4. Step 4: Simplify right side
    77,577.75x = 4,715,204,736.66
  5. Step 5: Solve for x
    x = 4,715,204,736.66/77,577.75
  6. Step 6: Final answer
    x = 60,780.38

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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.