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Finding the Fourth Proportional to 27,842.15, 41,762.53 and 8,120.88

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Solution

The fourth proportional to 27,842.15, 41,762.53 and 8,120.88 is: 12,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.15 : 41,762.53 = 8,120.88 : x
  2. Step 2: Convert to fraction form
    27,842.15/41,762.53 = 8,120.88/x
  3. Step 3: Cross multiply
    27,842.15x = 41,762.53 × 8,120.88
  4. Step 4: Simplify right side
    27,842.15x = 339,148,514.93
  5. Step 5: Solve for x
    x = 339,148,514.93/27,842.15
  6. Step 6: Final answer
    x = 12,181.12

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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.