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Finding the Fourth Proportional to 82,057.38, 122,979.15 and 37,045.28

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Solution

The fourth proportional to 82,057.38, 122,979.15 and 37,045.28 is: 55,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.38 : 122,979.15 = 37,045.28 : x
  2. Step 2: Convert to fraction form
    82,057.38/122,979.15 = 37,045.28/x
  3. Step 3: Cross multiply
    82,057.38x = 122,979.15 × 37,045.28
  4. Step 4: Simplify right side
    82,057.38x = 4,555,796,431.02
  5. Step 5: Solve for x
    x = 4,555,796,431.02/82,057.38
  6. Step 6: Final answer
    x = 55,519.64

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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.