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Finding the Fourth Proportional to 27,468.57, 41,178.41 and 9,934.50

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Solution

The fourth proportional to 27,468.57, 41,178.41 and 9,934.50 is: 14,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.57 : 41,178.41 = 9,934.50 : x
  2. Step 2: Convert to fraction form
    27,468.57/41,178.41 = 9,934.50/x
  3. Step 3: Cross multiply
    27,468.57x = 41,178.41 × 9,934.50
  4. Step 4: Simplify right side
    27,468.57x = 409,086,708.25
  5. Step 5: Solve for x
    x = 409,086,708.25/27,468.57
  6. Step 6: Final answer
    x = 14,892.90

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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.