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Finding the Fourth Proportional to 49,102.70, 73,544.70 and 40,354.70

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Solution

The fourth proportional to 49,102.70, 73,544.70 and 40,354.70 is: 60,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102.70 : 73,544.70 = 40,354.70 : x
  2. Step 2: Convert to fraction form
    49,102.70/73,544.70 = 40,354.70/x
  3. Step 3: Cross multiply
    49,102.70x = 73,544.70 × 40,354.70
  4. Step 4: Simplify right side
    49,102.70x = 2,967,874,305.09
  5. Step 5: Solve for x
    x = 2,967,874,305.09/49,102.70
  6. Step 6: Final answer
    x = 60,442.18

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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.