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Finding the Fourth Proportional to 27,271.20, 40,849.20 and 22,663.20

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Solution

The fourth proportional to 27,271.20, 40,849.20 and 22,663.20 is: 33,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271.20 : 40,849.20 = 22,663.20 : x
  2. Step 2: Convert to fraction form
    27,271.20/40,849.20 = 22,663.20/x
  3. Step 3: Cross multiply
    27,271.20x = 40,849.20 × 22,663.20
  4. Step 4: Simplify right side
    27,271.20x = 925,773,589.44
  5. Step 5: Solve for x
    x = 925,773,589.44/27,271.20
  6. Step 6: Final answer
    x = 33,946.93

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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.