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Finding the Fourth Proportional to 54,847.78, 82,274.74 and 15,401.81

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Solution

The fourth proportional to 54,847.78, 82,274.74 and 15,401.81 is: 23,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.78 : 82,274.74 = 15,401.81 : x
  2. Step 2: Convert to fraction form
    54,847.78/82,274.74 = 15,401.81/x
  3. Step 3: Cross multiply
    54,847.78x = 82,274.74 × 15,401.81
  4. Step 4: Simplify right side
    54,847.78x = 1,267,180,080.46
  5. Step 5: Solve for x
    x = 1,267,180,080.46/54,847.78
  6. Step 6: Final answer
    x = 23,103.58

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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.