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Finding the Fourth Proportional to 75,774.66, 113,662.01 and 33,644.84

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Solution

The fourth proportional to 75,774.66, 113,662.01 and 33,644.84 is: 50,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774.66 : 113,662.01 = 33,644.84 : x
  2. Step 2: Convert to fraction form
    75,774.66/113,662.01 = 33,644.84/x
  3. Step 3: Cross multiply
    75,774.66x = 113,662.01 × 33,644.84
  4. Step 4: Simplify right side
    75,774.66x = 3,824,140,520.73
  5. Step 5: Solve for x
    x = 3,824,140,520.73/75,774.66
  6. Step 6: Final answer
    x = 50,467.27

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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.