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Finding the Fourth Proportional to 49,676.85, 74,352.38 and 27,153.02

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Solution

The fourth proportional to 49,676.85, 74,352.38 and 27,153.02 is: 40,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676.85 : 74,352.38 = 27,153.02 : x
  2. Step 2: Convert to fraction form
    49,676.85/74,352.38 = 27,153.02/x
  3. Step 3: Cross multiply
    49,676.85x = 74,352.38 × 27,153.02
  4. Step 4: Simplify right side
    49,676.85x = 2,018,891,711.30
  5. Step 5: Solve for x
    x = 2,018,891,711.30/49,676.85
  6. Step 6: Final answer
    x = 40,640.49

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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.