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Finding the Fourth Proportional to 27,992.90, 41,902.95 and 16,271.30

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Solution

The fourth proportional to 27,992.90, 41,902.95 and 16,271.30 is: 24,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.90 : 41,902.95 = 16,271.30 : x
  2. Step 2: Convert to fraction form
    27,992.90/41,902.95 = 16,271.30/x
  3. Step 3: Cross multiply
    27,992.90x = 41,902.95 × 16,271.30
  4. Step 4: Simplify right side
    27,992.90x = 681,815,470.34
  5. Step 5: Solve for x
    x = 681,815,470.34/27,992.90
  6. Step 6: Final answer
    x = 24,356.73

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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.