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Finding the Fourth Proportional to 82,449.80, 123,674.70 and 40,977.80

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Solution

The fourth proportional to 82,449.80, 123,674.70 and 40,977.80 is: 61,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449.80 : 123,674.70 = 40,977.80 : x
  2. Step 2: Convert to fraction form
    82,449.80/123,674.70 = 40,977.80/x
  3. Step 3: Cross multiply
    82,449.80x = 123,674.70 × 40,977.80
  4. Step 4: Simplify right side
    82,449.80x = 5,067,917,121.66
  5. Step 5: Solve for x
    x = 5,067,917,121.66/82,449.80
  6. Step 6: Final answer
    x = 61,466.70

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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.