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Finding the Fourth Proportional to 50,797.64, 76,243.22 and 25,855.50

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Solution

The fourth proportional to 50,797.64, 76,243.22 and 25,855.50 is: 38,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,797.64 : 76,243.22 = 25,855.50 : x
  2. Step 2: Convert to fraction form
    50,797.64/76,243.22 = 25,855.50/x
  3. Step 3: Cross multiply
    50,797.64x = 76,243.22 × 25,855.50
  4. Step 4: Simplify right side
    50,797.64x = 1,971,306,445.43
  5. Step 5: Solve for x
    x = 1,971,306,445.43/50,797.64
  6. Step 6: Final answer
    x = 38,807.05

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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.