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Finding the Fourth Proportional to 27,401.88, 41,078.15 and 9,859.38

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Solution

The fourth proportional to 27,401.88, 41,078.15 and 9,859.38 is: 14,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,401.88 : 41,078.15 = 9,859.38 : x
  2. Step 2: Convert to fraction form
    27,401.88/41,078.15 = 9,859.38/x
  3. Step 3: Cross multiply
    27,401.88x = 41,078.15 × 9,859.38
  4. Step 4: Simplify right side
    27,401.88x = 405,005,090.55
  5. Step 5: Solve for x
    x = 405,005,090.55/27,401.88
  6. Step 6: Final answer
    x = 14,780.19

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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.