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Finding the Fourth Proportional to 82,450.80, 123,676.20 and 40,978.80

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Solution

The fourth proportional to 82,450.80, 123,676.20 and 40,978.80 is: 61,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,450.80 : 123,676.20 = 40,978.80 : x
  2. Step 2: Convert to fraction form
    82,450.80/123,676.20 = 40,978.80/x
  3. Step 3: Cross multiply
    82,450.80x = 123,676.20 × 40,978.80
  4. Step 4: Simplify right side
    82,450.80x = 5,068,102,264.56
  5. Step 5: Solve for x
    x = 5,068,102,264.56/82,450.80
  6. Step 6: Final answer
    x = 61,468.20

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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.