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Finding the Fourth Proportional to 27,841.92, 41,762.24 and 6,782.04

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Solution

The fourth proportional to 27,841.92, 41,762.24 and 6,782.04 is: 10,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.92 : 41,762.24 = 6,782.04 : x
  2. Step 2: Convert to fraction form
    27,841.92/41,762.24 = 6,782.04/x
  3. Step 3: Cross multiply
    27,841.92x = 41,762.24 × 6,782.04
  4. Step 4: Simplify right side
    27,841.92x = 283,233,182.17
  5. Step 5: Solve for x
    x = 283,233,182.17/27,841.92
  6. Step 6: Final answer
    x = 10,172.90

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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.