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Finding the Fourth Proportional to 27,060.57, 40,594.67 and 8,342.12

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Solution

The fourth proportional to 27,060.57, 40,594.67 and 8,342.12 is: 12,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,060.57 : 40,594.67 = 8,342.12 : x
  2. Step 2: Convert to fraction form
    27,060.57/40,594.67 = 8,342.12/x
  3. Step 3: Cross multiply
    27,060.57x = 40,594.67 × 8,342.12
  4. Step 4: Simplify right side
    27,060.57x = 338,645,608.50
  5. Step 5: Solve for x
    x = 338,645,608.50/27,060.57
  6. Step 6: Final answer
    x = 12,514.36

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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.