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Finding the Fourth Proportional to 27,447.71, 41,167.91 and 7,727.96

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Solution

The fourth proportional to 27,447.71, 41,167.91 and 7,727.96 is: 11,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.71 : 41,167.91 = 7,727.96 : x
  2. Step 2: Convert to fraction form
    27,447.71/41,167.91 = 7,727.96/x
  3. Step 3: Cross multiply
    27,447.71x = 41,167.91 × 7,727.96
  4. Step 4: Simplify right side
    27,447.71x = 318,144,084.00
  5. Step 5: Solve for x
    x = 318,144,084.00/27,447.71
  6. Step 6: Final answer
    x = 11,590.92

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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.