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Finding the Fourth Proportional to 75,499.88, 104,191 and 41,509.84

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Solution

The fourth proportional to 75,499.88, 104,191 and 41,509.84 is: 57,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,499.88 : 104,191 = 41,509.84 : x
  2. Step 2: Convert to fraction form
    75,499.88/104,191 = 41,509.84/x
  3. Step 3: Cross multiply
    75,499.88x = 104,191 × 41,509.84
  4. Step 4: Simplify right side
    75,499.88x = 4,324,951,739.44
  5. Step 5: Solve for x
    x = 4,324,951,739.44/75,499.88
  6. Step 6: Final answer
    x = 57,284.22

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1.5x scale

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.