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Finding the Fourth Proportional to 73,311.84, 109,512.89 and 53,161.37

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Solution

The fourth proportional to 73,311.84, 109,512.89 and 53,161.37 is: 79,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,311.84 : 109,512.89 = 53,161.37 : x
  2. Step 2: Convert to fraction form
    73,311.84/109,512.89 = 53,161.37/x
  3. Step 3: Cross multiply
    73,311.84x = 109,512.89 × 53,161.37
  4. Step 4: Simplify right side
    73,311.84x = 5,821,855,265.06
  5. Step 5: Solve for x
    x = 5,821,855,265.06/73,311.84
  6. Step 6: Final answer
    x = 79,412.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.