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Finding the Fourth Proportional to 51,991.84, 77,930.65 and 20,392.39

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Solution

The fourth proportional to 51,991.84, 77,930.65 and 20,392.39 is: 30,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.84 : 77,930.65 = 20,392.39 : x
  2. Step 2: Convert to fraction form
    51,991.84/77,930.65 = 20,392.39/x
  3. Step 3: Cross multiply
    51,991.84x = 77,930.65 × 20,392.39
  4. Step 4: Simplify right side
    51,991.84x = 1,589,192,207.75
  5. Step 5: Solve for x
    x = 1,589,192,207.75/51,991.84
  6. Step 6: Final answer
    x = 30,566.19

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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.