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Finding the Fourth Proportional to 51,991.50, 77,987.20 and 20,416.44

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Solution

The fourth proportional to 51,991.50, 77,987.20 and 20,416.44 is: 30,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.50 : 77,987.20 = 20,416.44 : x
  2. Step 2: Convert to fraction form
    51,991.50/77,987.20 = 20,416.44/x
  3. Step 3: Cross multiply
    51,991.50x = 77,987.20 × 20,416.44
  4. Step 4: Simplify right side
    51,991.50x = 1,592,220,989.57
  5. Step 5: Solve for x
    x = 1,592,220,989.57/51,991.50
  6. Step 6: Final answer
    x = 30,624.64

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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.