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Finding the Fourth Proportional to 82,022.88, 122,874.48 and 51,944.88

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Solution

The fourth proportional to 82,022.88, 122,874.48 and 51,944.88 is: 77,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,022.88 : 122,874.48 = 51,944.88 : x
  2. Step 2: Convert to fraction form
    82,022.88/122,874.48 = 51,944.88/x
  3. Step 3: Cross multiply
    82,022.88x = 122,874.48 × 51,944.88
  4. Step 4: Simplify right side
    82,022.88x = 6,382,700,118.66
  5. Step 5: Solve for x
    x = 6,382,700,118.66/82,022.88
  6. Step 6: Final answer
    x = 77,816.09

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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.