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Finding the Fourth Proportional to 82,582.38, 123,883.90 and 29,261.90

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Solution

The fourth proportional to 82,582.38, 123,883.90 and 29,261.90 is: 43,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,582.38 : 123,883.90 = 29,261.90 : x
  2. Step 2: Convert to fraction form
    82,582.38/123,883.90 = 29,261.90/x
  3. Step 3: Cross multiply
    82,582.38x = 123,883.90 × 29,261.90
  4. Step 4: Simplify right side
    82,582.38x = 3,625,078,529.96
  5. Step 5: Solve for x
    x = 3,625,078,529.96/82,582.38
  6. Step 6: Final answer
    x = 43,896.51

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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.