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Finding the Fourth Proportional to 29,779.35, 41,092.47 and 17,842.38

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Solution

The fourth proportional to 29,779.35, 41,092.47 and 17,842.38 is: 24,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,779.35 : 41,092.47 = 17,842.38 : x
  2. Step 2: Convert to fraction form
    29,779.35/41,092.47 = 17,842.38/x
  3. Step 3: Cross multiply
    29,779.35x = 41,092.47 × 17,842.38
  4. Step 4: Simplify right side
    29,779.35x = 733,187,464.88
  5. Step 5: Solve for x
    x = 733,187,464.88/29,779.35
  6. Step 6: Final answer
    x = 24,620.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.