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Finding the Fourth Proportional to 74,467.16, 111,706.16 and 27,720

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Solution

The fourth proportional to 74,467.16, 111,706.16 and 27,720 is: 41,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,467.16 : 111,706.16 = 27,720 : x
  2. Step 2: Convert to fraction form
    74,467.16/111,706.16 = 27,720/x
  3. Step 3: Cross multiply
    74,467.16x = 111,706.16 × 27,720
  4. Step 4: Simplify right side
    74,467.16x = 3,096,494,755.20
  5. Step 5: Solve for x
    x = 3,096,494,755.20/74,467.16
  6. Step 6: Final answer
    x = 41,582.02

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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.