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Finding the Fourth Proportional to 82,134.36, 123,201.54 and 47,049.48

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Solution

The fourth proportional to 82,134.36, 123,201.54 and 47,049.48 is: 70,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134.36 : 123,201.54 = 47,049.48 : x
  2. Step 2: Convert to fraction form
    82,134.36/123,201.54 = 47,049.48/x
  3. Step 3: Cross multiply
    82,134.36x = 123,201.54 × 47,049.48
  4. Step 4: Simplify right side
    82,134.36x = 5,796,568,392.20
  5. Step 5: Solve for x
    x = 5,796,568,392.20/82,134.36
  6. Step 6: Final answer
    x = 70,574.22

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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.