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Finding the Fourth Proportional to 55,274.88, 82,915.14 and 15,837.78

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Solution

The fourth proportional to 55,274.88, 82,915.14 and 15,837.78 is: 23,757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,274.88 : 82,915.14 = 15,837.78 : x
  2. Step 2: Convert to fraction form
    55,274.88/82,915.14 = 15,837.78/x
  3. Step 3: Cross multiply
    55,274.88x = 82,915.14 × 15,837.78
  4. Step 4: Simplify right side
    55,274.88x = 1,313,191,745.99
  5. Step 5: Solve for x
    x = 1,313,191,745.99/55,274.88
  6. Step 6: Final answer
    x = 23,757.48

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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.