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Finding the Fourth Proportional to 75,998.25, 113,997.78 and 20,594.25

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Solution

The fourth proportional to 75,998.25, 113,997.78 and 20,594.25 is: 30,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998.25 : 113,997.78 = 20,594.25 : x
  2. Step 2: Convert to fraction form
    75,998.25/113,997.78 = 20,594.25/x
  3. Step 3: Cross multiply
    75,998.25x = 113,997.78 × 20,594.25
  4. Step 4: Simplify right side
    75,998.25x = 2,347,698,780.77
  5. Step 5: Solve for x
    x = 2,347,698,780.77/75,998.25
  6. Step 6: Final answer
    x = 30,891.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.