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Finding the Fourth Proportional to 27,820.55, 41,730.82 and 6,760.48

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Solution

The fourth proportional to 27,820.55, 41,730.82 and 6,760.48 is: 10,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.55 : 41,730.82 = 6,760.48 : x
  2. Step 2: Convert to fraction form
    27,820.55/41,730.82 = 6,760.48/x
  3. Step 3: Cross multiply
    27,820.55x = 41,730.82 × 6,760.48
  4. Step 4: Simplify right side
    27,820.55x = 282,120,373.99
  5. Step 5: Solve for x
    x = 282,120,373.99/27,820.55
  6. Step 6: Final answer
    x = 10,140.72

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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.