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Finding the Fourth Proportional to 27,820.92, 41,731.41 and 7,044.42

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Solution

The fourth proportional to 27,820.92, 41,731.41 and 7,044.42 is: 10,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.92 : 41,731.41 = 7,044.42 : x
  2. Step 2: Convert to fraction form
    27,820.92/41,731.41 = 7,044.42/x
  3. Step 3: Cross multiply
    27,820.92x = 41,731.41 × 7,044.42
  4. Step 4: Simplify right side
    27,820.92x = 293,973,579.23
  5. Step 5: Solve for x
    x = 293,973,579.23/27,820.92
  6. Step 6: Final answer
    x = 10,566.64

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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.