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Finding the Fourth Proportional to 51,873.21, 77,820.03 and 18,584.37

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Solution

The fourth proportional to 51,873.21, 77,820.03 and 18,584.37 is: 27,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,873.21 : 77,820.03 = 18,584.37 : x
  2. Step 2: Convert to fraction form
    51,873.21/77,820.03 = 18,584.37/x
  3. Step 3: Cross multiply
    51,873.21x = 77,820.03 × 18,584.37
  4. Step 4: Simplify right side
    51,873.21x = 1,446,236,230.93
  5. Step 5: Solve for x
    x = 1,446,236,230.93/51,873.21
  6. Step 6: Final answer
    x = 27,880.21

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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.