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Finding the Fourth Proportional to 53,794.56, 80,724.72 and 31,651.20

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Solution

The fourth proportional to 53,794.56, 80,724.72 and 31,651.20 is: 47,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,794.56 : 80,724.72 = 31,651.20 : x
  2. Step 2: Convert to fraction form
    53,794.56/80,724.72 = 31,651.20/x
  3. Step 3: Cross multiply
    53,794.56x = 80,724.72 × 31,651.20
  4. Step 4: Simplify right side
    53,794.56x = 2,555,034,257.66
  5. Step 5: Solve for x
    x = 2,555,034,257.66/53,794.56
  6. Step 6: Final answer
    x = 47,496.15

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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.