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Finding the Fourth Proportional to 82,291.15, 123,436.77 and 19,961.65

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Solution

The fourth proportional to 82,291.15, 123,436.77 and 19,961.65 is: 29,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,291.15 : 123,436.77 = 19,961.65 : x
  2. Step 2: Convert to fraction form
    82,291.15/123,436.77 = 19,961.65/x
  3. Step 3: Cross multiply
    82,291.15x = 123,436.77 × 19,961.65
  4. Step 4: Simplify right side
    82,291.15x = 2,464,001,472.50
  5. Step 5: Solve for x
    x = 2,464,001,472.50/82,291.15
  6. Step 6: Final answer
    x = 29,942.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.