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Finding the Fourth Proportional to 27,049.11, 40,575.12 and 8,342.02

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Solution

The fourth proportional to 27,049.11, 40,575.12 and 8,342.02 is: 12,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.11 : 40,575.12 = 8,342.02 : x
  2. Step 2: Convert to fraction form
    27,049.11/40,575.12 = 8,342.02/x
  3. Step 3: Cross multiply
    27,049.11x = 40,575.12 × 8,342.02
  4. Step 4: Simplify right side
    27,049.11x = 338,478,462.54
  5. Step 5: Solve for x
    x = 338,478,462.54/27,049.11
  6. Step 6: Final answer
    x = 12,513.48

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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.