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Finding the Fourth Proportional to 82,666.98, 123,939.41 and 26,474.58

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Solution

The fourth proportional to 82,666.98, 123,939.41 and 26,474.58 is: 39,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666.98 : 123,939.41 = 26,474.58 : x
  2. Step 2: Convert to fraction form
    82,666.98/123,939.41 = 26,474.58/x
  3. Step 3: Cross multiply
    82,666.98x = 123,939.41 × 26,474.58
  4. Step 4: Simplify right side
    82,666.98x = 3,281,243,891.38
  5. Step 5: Solve for x
    x = 3,281,243,891.38/82,666.98
  6. Step 6: Final answer
    x = 39,692.32

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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.