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Finding the Fourth Proportional to 27,448.47, 41,186.52 and 10,820.43

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Solution

The fourth proportional to 27,448.47, 41,186.52 and 10,820.43 is: 16,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448.47 : 41,186.52 = 10,820.43 : x
  2. Step 2: Convert to fraction form
    27,448.47/41,186.52 = 10,820.43/x
  3. Step 3: Cross multiply
    27,448.47x = 41,186.52 × 10,820.43
  4. Step 4: Simplify right side
    27,448.47x = 445,655,802.50
  5. Step 5: Solve for x
    x = 445,655,802.50/27,448.47
  6. Step 6: Final answer
    x = 16,236.09

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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.