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Finding the Fourth Proportional to 71,847.24, 107,728.56 and 27,477.24

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Solution

The fourth proportional to 71,847.24, 107,728.56 and 27,477.24 is: 41,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,847.24 : 107,728.56 = 27,477.24 : x
  2. Step 2: Convert to fraction form
    71,847.24/107,728.56 = 27,477.24/x
  3. Step 3: Cross multiply
    71,847.24x = 107,728.56 × 27,477.24
  4. Step 4: Simplify right side
    71,847.24x = 2,960,083,497.97
  5. Step 5: Solve for x
    x = 2,960,083,497.97/71,847.24
  6. Step 6: Final answer
    x = 41,199.68

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1.5x scale

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.