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Finding the Fourth Proportional to 27,950.91, 41,929.20 and 9,231

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Solution

The fourth proportional to 27,950.91, 41,929.20 and 9,231 is: 13,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.91 : 41,929.20 = 9,231 : x
  2. Step 2: Convert to fraction form
    27,950.91/41,929.20 = 9,231/x
  3. Step 3: Cross multiply
    27,950.91x = 41,929.20 × 9,231
  4. Step 4: Simplify right side
    27,950.91x = 387,048,445.20
  5. Step 5: Solve for x
    x = 387,048,445.20/27,950.91
  6. Step 6: Final answer
    x = 13,847.44

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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.