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Finding the Fourth Proportional to 74,568.72, 111,872.52 and 27,822

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Solution

The fourth proportional to 74,568.72, 111,872.52 and 27,822 is: 41,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,568.72 : 111,872.52 = 27,822 : x
  2. Step 2: Convert to fraction form
    74,568.72/111,872.52 = 27,822/x
  3. Step 3: Cross multiply
    74,568.72x = 111,872.52 × 27,822
  4. Step 4: Simplify right side
    74,568.72x = 3,112,517,251.44
  5. Step 5: Solve for x
    x = 3,112,517,251.44/74,568.72
  6. Step 6: Final answer
    x = 41,740.25

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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.