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Finding the Fourth Proportional to 50,977.29, 76,423.84 and 22,493.97

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Solution

The fourth proportional to 50,977.29, 76,423.84 and 22,493.97 is: 33,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.29 : 76,423.84 = 22,493.97 : x
  2. Step 2: Convert to fraction form
    50,977.29/76,423.84 = 22,493.97/x
  3. Step 3: Cross multiply
    50,977.29x = 76,423.84 × 22,493.97
  4. Step 4: Simplify right side
    50,977.29x = 1,719,075,069.66
  5. Step 5: Solve for x
    x = 1,719,075,069.66/50,977.29
  6. Step 6: Final answer
    x = 33,722.37

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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.